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Finding the Fourth Proportional to 516,644.32, 712,977.60 and 284,081.04

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Solution

The fourth proportional to 516,644.32, 712,977.60 and 284,081.04 is: 392,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,644.32 : 712,977.60 = 284,081.04 : x
  2. Step 2: Convert to fraction form
    516,644.32/712,977.60 = 284,081.04/x
  3. Step 3: Cross multiply
    516,644.32x = 712,977.60 × 284,081.04
  4. Step 4: Simplify right side
    516,644.32x = 202,543,418,104.70
  5. Step 5: Solve for x
    x = 202,543,418,104.70/516,644.32
  6. Step 6: Final answer
    x = 392,036.48

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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.