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Finding the Fourth Proportional to 422,461.50, 582,996.90 and 231,481.74

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Solution

The fourth proportional to 422,461.50, 582,996.90 and 231,481.74 is: 319,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,461.50 : 582,996.90 = 231,481.74 : x
  2. Step 2: Convert to fraction form
    422,461.50/582,996.90 = 231,481.74/x
  3. Step 3: Cross multiply
    422,461.50x = 582,996.90 × 231,481.74
  4. Step 4: Simplify right side
    422,461.50x = 134,953,136,826.61
  5. Step 5: Solve for x
    x = 134,953,136,826.61/422,461.50
  6. Step 6: Final answer
    x = 319,444.82

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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.