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Finding the Fourth Proportional to 422,238.68, 582,697.83 and 231,252.09

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Solution

The fourth proportional to 422,238.68, 582,697.83 and 231,252.09 is: 319,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,238.68 : 582,697.83 = 231,252.09 : x
  2. Step 2: Convert to fraction form
    422,238.68/582,697.83 = 231,252.09/x
  3. Step 3: Cross multiply
    422,238.68x = 582,697.83 × 231,252.09
  4. Step 4: Simplify right side
    422,238.68x = 134,750,091,025.97
  5. Step 5: Solve for x
    x = 134,750,091,025.97/422,238.68
  6. Step 6: Final answer
    x = 319,132.51

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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.