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Finding the Fourth Proportional to 274,327.43, 411,449.57 and 74,663.38

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Solution

The fourth proportional to 274,327.43, 411,449.57 and 74,663.38 is: 111,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,327.43 : 411,449.57 = 74,663.38 : x
  2. Step 2: Convert to fraction form
    274,327.43/411,449.57 = 74,663.38/x
  3. Step 3: Cross multiply
    274,327.43x = 411,449.57 × 74,663.38
  4. Step 4: Simplify right side
    274,327.43x = 30,720,213,165.18
  5. Step 5: Solve for x
    x = 30,720,213,165.18/274,327.43
  6. Step 6: Final answer
    x = 111,983.75

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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.