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Finding the Fourth Proportional to 422,375.89, 582,893.31 and 231,389.23

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Solution

The fourth proportional to 422,375.89, 582,893.31 and 231,389.23 is: 319,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,375.89 : 582,893.31 = 231,389.23 : x
  2. Step 2: Convert to fraction form
    422,375.89/582,893.31 = 231,389.23/x
  3. Step 3: Cross multiply
    422,375.89x = 582,893.31 × 231,389.23
  4. Step 4: Simplify right side
    422,375.89x = 134,875,234,173.05
  5. Step 5: Solve for x
    x = 134,875,234,173.05/422,375.89
  6. Step 6: Final answer
    x = 319,325.13

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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.