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Finding the Fourth Proportional to 422,305.30, 582,781.53 and 231,321.88

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Solution

The fourth proportional to 422,305.30, 582,781.53 and 231,321.88 is: 319,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,305.30 : 582,781.53 = 231,321.88 : x
  2. Step 2: Convert to fraction form
    422,305.30/582,781.53 = 231,321.88/x
  3. Step 3: Cross multiply
    422,305.30x = 582,781.53 × 231,321.88
  4. Step 4: Simplify right side
    422,305.30x = 134,810,119,148.88
  5. Step 5: Solve for x
    x = 134,810,119,148.88/422,305.30
  6. Step 6: Final answer
    x = 319,224.31

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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.