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Finding the Fourth Proportional to 422,374.89, 582,891.93 and 231,388.23

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Solution

The fourth proportional to 422,374.89, 582,891.93 and 231,388.23 is: 319,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,374.89 : 582,891.93 = 231,388.23 : x
  2. Step 2: Convert to fraction form
    422,374.89/582,891.93 = 231,388.23/x
  3. Step 3: Cross multiply
    422,374.89x = 582,891.93 × 231,388.23
  4. Step 4: Simplify right side
    422,374.89x = 134,874,331,963.98
  5. Step 5: Solve for x
    x = 134,874,331,963.98/422,374.89
  6. Step 6: Final answer
    x = 319,323.75

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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.