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Finding the Fourth Proportional to 868,656,771.22, 1,198,747,116.72 and 472,179,760.78

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Solution

The fourth proportional to 868,656,771.22, 1,198,747,116.72 and 472,179,760.78 is: 651,608,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,656,771.22 : 1,198,747,116.72 = 472,179,760.78 : x
  2. Step 2: Convert to fraction form
    868,656,771.22/1,198,747,116.72 = 472,179,760.78/x
  3. Step 3: Cross multiply
    868,656,771.22x = 1,198,747,116.72 × 472,179,760.78
  4. Step 4: Simplify right side
    868,656,771.22x = 566,024,126,808,564,288
  5. Step 5: Solve for x
    x = 566,024,126,808,564,288/868,656,771.22
  6. Step 6: Final answer
    x = 651,608,489.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.