Finding the Fourth Proportional to 478,091,924,361.09, 717,263,669,546.65 and 171,812,646,395.19
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Solution
The fourth proportional to 478,091,924,361.09, 717,263,669,546.65 and 171,812,646,395.19 is: 257,764,172,429.02
Step by Step Solution
- Step 1: Write the proportion equation
478,091,924,361.09 : 717,263,669,546.65 = 171,812,646,395.19 : x - Step 2: Convert to fraction form
478,091,924,361.09/717,263,669,546.65 = 171,812,646,395.19/x - Step 3: Cross multiply
478,091,924,361.09x = 717,263,669,546.65 × 171,812,646,395.19 - Step 4: Simplify right side
478,091,924,361.09x = 123,234,969,227,934,994,268,160 - Step 5: Solve for x
x = 123,234,969,227,934,994,268,160/478,091,924,361.09 - Step 6: Final answer
x = 257,764,172,429.02
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.