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Finding the Fourth Proportional to 422,374.60, 582,875.22 and 231,399.88

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Solution

The fourth proportional to 422,374.60, 582,875.22 and 231,399.88 is: 319,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,374.60 : 582,875.22 = 231,399.88 : x
  2. Step 2: Convert to fraction form
    422,374.60/582,875.22 = 231,399.88/x
  3. Step 3: Cross multiply
    422,374.60x = 582,875.22 × 231,399.88
  4. Step 4: Simplify right side
    422,374.60x = 134,877,255,962.97
  5. Step 5: Solve for x
    x = 134,877,255,962.97/422,374.60
  6. Step 6: Final answer
    x = 319,330.89

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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.