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Finding the Fourth Proportional to 331,788.25, 497,684.20 and 82,470.25

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Solution

The fourth proportional to 331,788.25, 497,684.20 and 82,470.25 is: 123,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,788.25 : 497,684.20 = 82,470.25 : x
  2. Step 2: Convert to fraction form
    331,788.25/497,684.20 = 82,470.25/x
  3. Step 3: Cross multiply
    331,788.25x = 497,684.20 × 82,470.25
  4. Step 4: Simplify right side
    331,788.25x = 41,044,140,395.05
  5. Step 5: Solve for x
    x = 41,044,140,395.05/331,788.25
  6. Step 6: Final answer
    x = 123,705.83

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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.