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Finding the Fourth Proportional to 647,694,515.80, 971,541,773.70 and 429,591,129.40

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Solution

The fourth proportional to 647,694,515.80, 971,541,773.70 and 429,591,129.40 is: 644,386,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,515.80 : 971,541,773.70 = 429,591,129.40 : x
  2. Step 2: Convert to fraction form
    647,694,515.80/971,541,773.70 = 429,591,129.40/x
  3. Step 3: Cross multiply
    647,694,515.80x = 971,541,773.70 × 429,591,129.40
  4. Step 4: Simplify right side
    647,694,515.80x = 417,365,727,823,062,208
  5. Step 5: Solve for x
    x = 417,365,727,823,062,208/647,694,515.80
  6. Step 6: Final answer
    x = 644,386,694.10

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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.