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Finding the Fourth Proportional to 422,358.66, 582,855.12 and 231,372.78

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Solution

The fourth proportional to 422,358.66, 582,855.12 and 231,372.78 is: 319,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,358.66 : 582,855.12 = 231,372.78 : x
  2. Step 2: Convert to fraction form
    422,358.66/582,855.12 = 231,372.78/x
  3. Step 3: Cross multiply
    422,358.66x = 582,855.12 × 231,372.78
  4. Step 4: Simplify right side
    422,358.66x = 134,856,809,451.63
  5. Step 5: Solve for x
    x = 134,856,809,451.63/422,358.66
  6. Step 6: Final answer
    x = 319,294.53

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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.