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Finding the Fourth Proportional to 516,713.31, 712,978.20 and 287,264.21

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Solution

The fourth proportional to 516,713.31, 712,978.20 and 287,264.21 is: 396,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,713.31 : 712,978.20 = 287,264.21 : x
  2. Step 2: Convert to fraction form
    516,713.31/712,978.20 = 287,264.21/x
  3. Step 3: Cross multiply
    516,713.31x = 712,978.20 × 287,264.21
  4. Step 4: Simplify right side
    516,713.31x = 204,813,115,805.33
  5. Step 5: Solve for x
    x = 204,813,115,805.33/516,713.31
  6. Step 6: Final answer
    x = 396,376.70

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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.