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Finding the Fourth Proportional to 516,645.32, 712,978.98 and 284,082.04

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Solution

The fourth proportional to 516,645.32, 712,978.98 and 284,082.04 is: 392,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,645.32 : 712,978.98 = 284,082.04 : x
  2. Step 2: Convert to fraction form
    516,645.32/712,978.98 = 284,082.04/x
  3. Step 3: Cross multiply
    516,645.32x = 712,978.98 × 284,082.04
  4. Step 4: Simplify right side
    516,645.32x = 202,544,523,115.52
  5. Step 5: Solve for x
    x = 202,544,523,115.52/516,645.32
  6. Step 6: Final answer
    x = 392,037.86

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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.