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Finding the Fourth Proportional to 422,066.49, 633,165.96 and 137,691.42

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Solution

The fourth proportional to 422,066.49, 633,165.96 and 137,691.42 is: 206,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,066.49 : 633,165.96 = 137,691.42 : x
  2. Step 2: Convert to fraction form
    422,066.49/633,165.96 = 137,691.42/x
  3. Step 3: Cross multiply
    422,066.49x = 633,165.96 × 137,691.42
  4. Step 4: Simplify right side
    422,066.49x = 87,181,516,273.78
  5. Step 5: Solve for x
    x = 87,181,516,273.78/422,066.49
  6. Step 6: Final answer
    x = 206,558.73

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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.