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Finding the Fourth Proportional to 422,361, 582,872.73 and 231,374.40

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Solution

The fourth proportional to 422,361, 582,872.73 and 231,374.40 is: 319,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,361 : 582,872.73 = 231,374.40 : x
  2. Step 2: Convert to fraction form
    422,361/582,872.73 = 231,374.40/x
  3. Step 3: Cross multiply
    422,361x = 582,872.73 × 231,374.40
  4. Step 4: Simplify right side
    422,361x = 134,861,828,180.11
  5. Step 5: Solve for x
    x = 134,861,828,180.11/422,361
  6. Step 6: Final answer
    x = 319,304.64

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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.