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Finding the Fourth Proportional to 422,053.97, 582,436.19 and 231,085.13

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Solution

The fourth proportional to 422,053.97, 582,436.19 and 231,085.13 is: 318,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,053.97 : 582,436.19 = 231,085.13 : x
  2. Step 2: Convert to fraction form
    422,053.97/582,436.19 = 231,085.13/x
  3. Step 3: Cross multiply
    422,053.97x = 582,436.19 × 231,085.13
  4. Step 4: Simplify right side
    422,053.97x = 134,592,342,682.86
  5. Step 5: Solve for x
    x = 134,592,342,682.86/422,053.97
  6. Step 6: Final answer
    x = 318,898.42

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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.