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Finding the Fourth Proportional to 331,799.78, 497,701.55 and 82,481.78

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Solution

The fourth proportional to 331,799.78, 497,701.55 and 82,481.78 is: 123,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,799.78 : 497,701.55 = 82,481.78 : x
  2. Step 2: Convert to fraction form
    331,799.78/497,701.55 = 82,481.78/x
  3. Step 3: Cross multiply
    331,799.78x = 497,701.55 × 82,481.78
  4. Step 4: Simplify right side
    331,799.78x = 41,051,309,752.76
  5. Step 5: Solve for x
    x = 41,051,309,752.76/331,799.78
  6. Step 6: Final answer
    x = 123,723.14

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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.