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Finding the Fourth Proportional to 331,726.60, 497,589.90 and 82,408.60

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Solution

The fourth proportional to 331,726.60, 497,589.90 and 82,408.60 is: 123,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,726.60 : 497,589.90 = 82,408.60 : x
  2. Step 2: Convert to fraction form
    331,726.60/497,589.90 = 82,408.60/x
  3. Step 3: Cross multiply
    331,726.60x = 497,589.90 × 82,408.60
  4. Step 4: Simplify right side
    331,726.60x = 41,005,687,033.14
  5. Step 5: Solve for x
    x = 41,005,687,033.14/331,726.60
  6. Step 6: Final answer
    x = 123,612.90

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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.