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Finding the Fourth Proportional to 422,147.90, 582,542.43 and 231,124.37

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Solution

The fourth proportional to 422,147.90, 582,542.43 and 231,124.37 is: 318,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,147.90 : 582,542.43 = 231,124.37 : x
  2. Step 2: Convert to fraction form
    422,147.90/582,542.43 = 231,124.37/x
  3. Step 3: Cross multiply
    422,147.90x = 582,542.43 × 231,124.37
  4. Step 4: Simplify right side
    422,147.90x = 134,639,752,132.02
  5. Step 5: Solve for x
    x = 134,639,752,132.02/422,147.90
  6. Step 6: Final answer
    x = 318,939.77

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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.