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Finding the Fourth Proportional to 422,374.47, 582,891.62 and 231,387.86

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Solution

The fourth proportional to 422,374.47, 582,891.62 and 231,387.86 is: 319,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,374.47 : 582,891.62 = 231,387.86 : x
  2. Step 2: Convert to fraction form
    422,374.47/582,891.62 = 231,387.86/x
  3. Step 3: Cross multiply
    422,374.47x = 582,891.62 × 231,387.86
  4. Step 4: Simplify right side
    422,374.47x = 134,874,040,492.34
  5. Step 5: Solve for x
    x = 134,874,040,492.34/422,374.47
  6. Step 6: Final answer
    x = 319,323.37

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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.