The tourists put up little resistance as Australia charged toward victory, eventually falling to be all out for 201.
The Aussies triumphed by a mammoth 298 runs in Adelaide, having dominated in every match for the four-Test series.
India had looked well and truly defeated as the hosts applied the pace blowtorch in the morning session, with off-spinner Ravi Ashwin finishing the match unbeaten on 15.
After the tourists resumed on Saturday at 6-166, Aussie paceman Ryan Harris removed Ishant Sharma for two and just an over later, Peter Siddle dismissed Wriddhiman Saha for just three.
Then Indian paceman Zaheer Khan, after showing a tiny bit of resistance slapping 15 off 18 deliveries, swung at one too many and was claimed by Ben Hilfenhaus.
Spinner Nathan Lyon grabbed the final wicket of Umesh Yadav, dismissing him for one run as the Aussies began to celebrate a series whitewash.
It took Australia just 58 minutes to snare the four wickets in the early session on Saturday.
Australia set the tourists a world-record target of 500 to win in the Fourth Test and the out-of-sorts Indians never looked like coming close to reaching the target.
Michael Clarke's men join South Africa on 111 ICC ratings points but Australia will stay in fourth position when ratings are calculated beyond the decimal point, also trailing first-placed England and second-placed India.
Australia batsman Mike Hussey said the team had been relentless with bat and ball.
"The bowlers in this series have been absolutely outstanding and it certainly gives the batsmen a lot of confidence," said Hussey who averaged 58.6 in the series.
Lyon, a former Adelaide Oval groundsman, said his first home Test had been awesome.
"It all came to plan. I was lucky enough to scramble up the last one," he said.
Double centuries from Ricky Ponting and skipper Michael Clarke set up Australia's first-innings tally of 7-604 declared.
Paceman Siddle, who claimed 5-49 in India's first innings of 272 on a flat batting track and had figures of 6-96 for the game, was named man of the match.
Siddle said patience was the key to his haul of 23 wickets at 18.65 in the series.
Australian captain Clarke, who scored 626 runs at 125.2 in the series including a triple hundred and a double ton, won the player of the series award.
"The disappointment of last summer has inspired a few of us. There's been a bit of fire in the belly and we've known we've had to get better," Clarke said of Australia's 2010-11 Ashes defeat.
Asked if he was in career-best form, Clarke said: I've got to say yes."
Indian captain MS Dhoni, who missed the Adelaide Test because of a suspension over his team's slow over rate in the third Test in Perth, praised Australia's bowlers.
"They always stepped up when it was needed," Dhoni said.
"They never gave us easy boundaries which made it a bit difficult."
Dhoni said he was confident his 2011 world champions would give a good account of themselves in next month's triangular one-day series against Australia and Sri Lanka.
Ex-skipper Ricky Ponting, who averaged 108.8 in the series, said he was just glad to make a contribution.
"We're heading in the right direction," said Ponting, 37.
"To make 281 runs (221 and 60) in this match is just fantastic."
Australia's next Test series is in the West Indies in April.
New Australian Twenty20 skipper George Bailey will lead the home side in Twenty20 matches against India at ANZ Stadium on Wednesday and at the MCG on Friday.
- With AAP