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Finding the Fourth Proportional to 422,327.28, 582,344.65 and 269,122.81

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Solution

The fourth proportional to 422,327.28, 582,344.65 and 269,122.81 is: 371,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,327.28 : 582,344.65 = 269,122.81 : x
  2. Step 2: Convert to fraction form
    422,327.28/582,344.65 = 269,122.81/x
  3. Step 3: Cross multiply
    422,327.28x = 582,344.65 × 269,122.81
  4. Step 4: Simplify right side
    422,327.28x = 156,722,227,140.61
  5. Step 5: Solve for x
    x = 156,722,227,140.61/422,327.28
  6. Step 6: Final answer
    x = 371,091.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.