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Finding the Fourth Proportional to 647,694,516.80, 971,541,775.20 and 429,591,130.40

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Solution

The fourth proportional to 647,694,516.80, 971,541,775.20 and 429,591,130.40 is: 644,386,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694,516.80 : 971,541,775.20 = 429,591,130.40 : x
  2. Step 2: Convert to fraction form
    647,694,516.80/971,541,775.20 = 429,591,130.40/x
  3. Step 3: Cross multiply
    647,694,516.80x = 971,541,775.20 × 429,591,130.40
  4. Step 4: Simplify right side
    647,694,516.80x = 417,365,729,438,990,656
  5. Step 5: Solve for x
    x = 417,365,729,438,990,656/647,694,516.80
  6. Step 6: Final answer
    x = 644,386,695.60

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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.