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Finding the Fourth Proportional to 331,812.38, 497,720.39 and 82,494.38

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Solution

The fourth proportional to 331,812.38, 497,720.39 and 82,494.38 is: 123,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,812.38 : 497,720.39 = 82,494.38 : x
  2. Step 2: Convert to fraction form
    331,812.38/497,720.39 = 82,494.38/x
  3. Step 3: Cross multiply
    331,812.38x = 497,720.39 × 82,494.38
  4. Step 4: Simplify right side
    331,812.38x = 41,059,134,986.41
  5. Step 5: Solve for x
    x = 41,059,134,986.41/331,812.38
  6. Step 6: Final answer
    x = 123,742.02

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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.