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Finding the Fourth Proportional to 422,374.56, 582,891.72 and 231,387.93

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Solution

The fourth proportional to 422,374.56, 582,891.72 and 231,387.93 is: 319,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,374.56 : 582,891.72 = 231,387.93 : x
  2. Step 2: Convert to fraction form
    422,374.56/582,891.72 = 231,387.93/x
  3. Step 3: Cross multiply
    422,374.56x = 582,891.72 × 231,387.93
  4. Step 4: Simplify right side
    422,374.56x = 134,874,108,504.94
  5. Step 5: Solve for x
    x = 134,874,108,504.94/422,374.56
  6. Step 6: Final answer
    x = 319,323.47

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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.