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Finding the Fourth Proportional to 457,508.82, 686,355.03 and 158,000.38

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Solution

The fourth proportional to 457,508.82, 686,355.03 and 158,000.38 is: 237,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,508.82 : 686,355.03 = 158,000.38 : x
  2. Step 2: Convert to fraction form
    457,508.82/686,355.03 = 158,000.38/x
  3. Step 3: Cross multiply
    457,508.82x = 686,355.03 × 158,000.38
  4. Step 4: Simplify right side
    457,508.82x = 108,444,355,554.91
  5. Step 5: Solve for x
    x = 108,444,355,554.91/457,508.82
  6. Step 6: Final answer
    x = 237,032.27

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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.