The umpires called off the match shortly after lunch with India A at 117 for no loss and needing another 365 runs for victory after openers Robin Uthappa (67) and Gautam Gambhir (40) gave a good start to the tourists' reply in the second innings.
Australia A opener Phil Jaques was named man of the match for scoring two centuries in the match.
Jacques, who had slammed a scintillating 240 in the first innings, struck a swasbuckling 117 off just 103 balls that included seven hits to the fence and five sixes in the second essay.
Earlier, in response to Australia A's first innings total of 461 for four declared, India A were all out for 254. In their second essay, the hosts declared their innings at 274 for seven and India A were hoping to bat out the entire fourth and final day to save the match.
Set a victory target of 482, both the Indian openers played positively and thrived on the largesse of the butterfinger slip fielders. India reached 117 for no loss in 33 overs but weather did not allow any play after that.
Uthappa was lucky to survive twice and the Chris Rodgers was the culprit on one occasion when he spiled a sitter off an outside edge.
The opener soon checked himself and played a flurry of shots, including a towering six off Daniel Cullen over the long on boundary. His unbeaten 67 from 114 balls included five boundaries and two sixes.
Gambhir was batting on 40 off 86 balls with four boundaries in it.
Brief score: Austrlia A 4/461(dec) and 7/274(dec) India A 254 all out and 117 for no loss.