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Finding the Fourth Proportional to 422,362.66, 582,874.98 and 231,376

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Solution

The fourth proportional to 422,362.66, 582,874.98 and 231,376 is: 319,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,362.66 : 582,874.98 = 231,376 : x
  2. Step 2: Convert to fraction form
    422,362.66/582,874.98 = 231,376/x
  3. Step 3: Cross multiply
    422,362.66x = 582,874.98 × 231,376
  4. Step 4: Simplify right side
    422,362.66x = 134,863,281,372.48
  5. Step 5: Solve for x
    x = 134,863,281,372.48/422,362.66
  6. Step 6: Final answer
    x = 319,306.83

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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.