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Finding the Fourth Proportional to 516,591.61, 712,847.52 and 287,121.66

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Solution

The fourth proportional to 516,591.61, 712,847.52 and 287,121.66 is: 396,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,591.61 : 712,847.52 = 287,121.66 : x
  2. Step 2: Convert to fraction form
    516,591.61/712,847.52 = 287,121.66/x
  3. Step 3: Cross multiply
    516,591.61x = 712,847.52 × 287,121.66
  4. Step 4: Simplify right side
    516,591.61x = 204,673,965,817.17
  5. Step 5: Solve for x
    x = 204,673,965,817.17/516,591.61
  6. Step 6: Final answer
    x = 396,200.71

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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.