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Finding the Fourth Proportional to 422,376.32, 582,864.36 and 231,387.92

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Solution

The fourth proportional to 422,376.32, 582,864.36 and 231,387.92 is: 319,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,376.32 : 582,864.36 = 231,387.92 : x
  2. Step 2: Convert to fraction form
    422,376.32/582,864.36 = 231,387.92/x
  3. Step 3: Cross multiply
    422,376.32x = 582,864.36 × 231,387.92
  4. Step 4: Simplify right side
    422,376.32x = 134,867,771,902.53
  5. Step 5: Solve for x
    x = 134,867,771,902.53/422,376.32
  6. Step 6: Final answer
    x = 319,307.13

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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.