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Finding the Fourth Proportional to 422,251.68, 582,707.28 and 231,265.56

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Solution

The fourth proportional to 422,251.68, 582,707.28 and 231,265.56 is: 319,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,251.68 : 582,707.28 = 231,265.56 : x
  2. Step 2: Convert to fraction form
    422,251.68/582,707.28 = 231,265.56/x
  3. Step 3: Cross multiply
    422,251.68x = 582,707.28 × 231,265.56
  4. Step 4: Simplify right side
    422,251.68x = 134,760,125,425.28
  5. Step 5: Solve for x
    x = 134,760,125,425.28/422,251.68
  6. Step 6: Final answer
    x = 319,146.45

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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.