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Finding the Fourth Proportional to 516,390, 712,613.76 and 283,819.92

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Solution

The fourth proportional to 516,390, 712,613.76 and 283,819.92 is: 391,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,390 : 712,613.76 = 283,819.92 : x
  2. Step 2: Convert to fraction form
    516,390/712,613.76 = 283,819.92/x
  3. Step 3: Cross multiply
    516,390x = 712,613.76 × 283,819.92
  4. Step 4: Simplify right side
    516,390x = 202,253,980,354.10
  5. Step 5: Solve for x
    x = 202,253,980,354.10/516,390
  6. Step 6: Final answer
    x = 391,669.05

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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.