Finding the Fourth Proportional to 686,405,101.60, 1,029,607,652.40 and 410,906,087.20
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Solution
The fourth proportional to 686,405,101.60, 1,029,607,652.40 and 410,906,087.20 is: 616,359,130.80
Step by Step Solution
- Step 1: Write the proportion equation
686,405,101.60 : 1,029,607,652.40 = 410,906,087.20 : x - Step 2: Convert to fraction form
686,405,101.60/1,029,607,652.40 = 410,906,087.20/x - Step 3: Cross multiply
686,405,101.60x = 1,029,607,652.40 × 410,906,087.20 - Step 4: Simplify right side
686,405,101.60x = 423,072,051,798,861,696 - Step 5: Solve for x
x = 423,072,051,798,861,696/686,405,101.60 - Step 6: Final answer
x = 616,359,130.80
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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.