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Finding the Fourth Proportional to 422,361.78, 582,873.77 and 231,375.12

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Solution

The fourth proportional to 422,361.78, 582,873.77 and 231,375.12 is: 319,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,361.78 : 582,873.77 = 231,375.12 : x
  2. Step 2: Convert to fraction form
    422,361.78/582,873.77 = 231,375.12/x
  3. Step 3: Cross multiply
    422,361.78x = 582,873.77 × 231,375.12
  4. Step 4: Simplify right side
    422,361.78x = 134,862,486,871.26
  5. Step 5: Solve for x
    x = 134,862,486,871.26/422,361.78
  6. Step 6: Final answer
    x = 319,305.62

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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.