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Finding the Fourth Proportional to 397,691.34, 596,630.44 and 131,451.87

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Solution

The fourth proportional to 397,691.34, 596,630.44 and 131,451.87 is: 197,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,691.34 : 596,630.44 = 131,451.87 : x
  2. Step 2: Convert to fraction form
    397,691.34/596,630.44 = 131,451.87/x
  3. Step 3: Cross multiply
    397,691.34x = 596,630.44 × 131,451.87
  4. Step 4: Simplify right side
    397,691.34x = 78,428,187,036.92
  5. Step 5: Solve for x
    x = 78,428,187,036.92/397,691.34
  6. Step 6: Final answer
    x = 197,208.69

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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.