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Finding the Fourth Proportional to 422,279.73, 582,740.43 and 231,293.27

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Solution

The fourth proportional to 422,279.73, 582,740.43 and 231,293.27 is: 319,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,279.73 : 582,740.43 = 231,293.27 : x
  2. Step 2: Convert to fraction form
    422,279.73/582,740.43 = 231,293.27/x
  3. Step 3: Cross multiply
    422,279.73x = 582,740.43 × 231,293.27
  4. Step 4: Simplify right side
    422,279.73x = 134,783,940,205.41
  5. Step 5: Solve for x
    x = 134,783,940,205.41/422,279.73
  6. Step 6: Final answer
    x = 319,181.65

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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.