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Finding the Fourth Proportional to 422,308.53, 582,785.91 and 231,328.80

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Solution

The fourth proportional to 422,308.53, 582,785.91 and 231,328.80 is: 319,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,308.53 : 582,785.91 = 231,328.80 : x
  2. Step 2: Convert to fraction form
    422,308.53/582,785.91 = 231,328.80/x
  3. Step 3: Cross multiply
    422,308.53x = 582,785.91 × 231,328.80
  4. Step 4: Simplify right side
    422,308.53x = 134,815,165,217.21
  5. Step 5: Solve for x
    x = 134,815,165,217.21/422,308.53
  6. Step 6: Final answer
    x = 319,233.82

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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.