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Finding the Fourth Proportional to 457,992.68, 686,824.38 and 158,391.90

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Solution

The fourth proportional to 457,992.68, 686,824.38 and 158,391.90 is: 237,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,992.68 : 686,824.38 = 158,391.90 : x
  2. Step 2: Convert to fraction form
    457,992.68/686,824.38 = 158,391.90/x
  3. Step 3: Cross multiply
    457,992.68x = 686,824.38 × 158,391.90
  4. Step 4: Simplify right side
    457,992.68x = 108,787,418,514.52
  5. Step 5: Solve for x
    x = 108,787,418,514.52/457,992.68
  6. Step 6: Final answer
    x = 237,530.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.