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Finding the Fourth Proportional to 331,839.60, 497,761.20 and 82,521.60

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Solution

The fourth proportional to 331,839.60, 497,761.20 and 82,521.60 is: 123,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,839.60 : 497,761.20 = 82,521.60 : x
  2. Step 2: Convert to fraction form
    331,839.60/497,761.20 = 82,521.60/x
  3. Step 3: Cross multiply
    331,839.60x = 497,761.20 × 82,521.60
  4. Step 4: Simplify right side
    331,839.60x = 41,076,050,641.92
  5. Step 5: Solve for x
    x = 41,076,050,641.92/331,839.60
  6. Step 6: Final answer
    x = 123,782.85

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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.