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Finding the Fourth Proportional to 422,334.52, 582,821.80 and 231,354.80

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Solution

The fourth proportional to 422,334.52, 582,821.80 and 231,354.80 is: 319,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,334.52 : 582,821.80 = 231,354.80 : x
  2. Step 2: Convert to fraction form
    422,334.52/582,821.80 = 231,354.80/x
  3. Step 3: Cross multiply
    422,334.52x = 582,821.80 × 231,354.80
  4. Step 4: Simplify right side
    422,334.52x = 134,838,620,974.64
  5. Step 5: Solve for x
    x = 134,838,620,974.64/422,334.52
  6. Step 6: Final answer
    x = 319,269.71

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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.