Do it in this way...Pb3O4 is a mixed oxide of 2PbO and PbO2....so Pb is changing it's oxidation state from +4 to +2 in PbO2 and in PbO it's oxidation state remains same....
MnO2 + PbO2 +PbO + HNO3 → Pb(NO3)2 + HMnO4 + H2O
so Pb is changing it's oxidation state from +4 to +2 and Mn from +4 to +7..so write the equation as .
so mutiply MnO2 by 2 and PbO2 by 3..
Now to form a mixed oxide the number or moles of PbO2 = 2 * the number of moles of PbO..so multiply PbO by 6...
So u will get the balanced equation as
2MnO2 + 3Pb3O4 + 18HNO3 → 9Pb(NO3)2 + 2HMnO4 + 8H2O