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Finding the Fourth Proportional to 422,251.26, 582,720.75 and 231,275.22

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Solution

The fourth proportional to 422,251.26, 582,720.75 and 231,275.22 is: 319,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,251.26 : 582,720.75 = 231,275.22 : x
  2. Step 2: Convert to fraction form
    422,251.26/582,720.75 = 231,275.22/x
  3. Step 3: Cross multiply
    422,251.26x = 582,720.75 × 231,275.22
  4. Step 4: Simplify right side
    422,251.26x = 134,768,869,654.82
  5. Step 5: Solve for x
    x = 134,768,869,654.82/422,251.26
  6. Step 6: Final answer
    x = 319,167.48

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1.5x scale

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.