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Finding the Fourth Proportional to 422,358.71, 582,861.62 and 231,359.49

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Solution

The fourth proportional to 422,358.71, 582,861.62 and 231,359.49 is: 319,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,358.71 : 582,861.62 = 231,359.49 : x
  2. Step 2: Convert to fraction form
    422,358.71/582,861.62 = 231,359.49/x
  3. Step 3: Cross multiply
    422,358.71x = 582,861.62 × 231,359.49
  4. Step 4: Simplify right side
    422,358.71x = 134,850,567,722.17
  5. Step 5: Solve for x
    x = 134,850,567,722.17/422,358.71
  6. Step 6: Final answer
    x = 319,279.72

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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.