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Finding the Fourth Proportional to 397,711.66, 596,660.91 and 131,472.15

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Solution

The fourth proportional to 397,711.66, 596,660.91 and 131,472.15 is: 197,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,711.66 : 596,660.91 = 131,472.15 : x
  2. Step 2: Convert to fraction form
    397,711.66/596,660.91 = 131,472.15/x
  3. Step 3: Cross multiply
    397,711.66x = 596,660.91 × 131,472.15
  4. Step 4: Simplify right side
    397,711.66x = 78,444,292,165.64
  5. Step 5: Solve for x
    x = 78,444,292,165.64/397,711.66
  6. Step 6: Final answer
    x = 197,239.11

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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.