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Finding the Fourth Proportional to 422,224.56, 582,674.85 and 231,246

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Solution

The fourth proportional to 422,224.56, 582,674.85 and 231,246 is: 319,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,224.56 : 582,674.85 = 231,246 : x
  2. Step 2: Convert to fraction form
    422,224.56/582,674.85 = 231,246/x
  3. Step 3: Cross multiply
    422,224.56x = 582,674.85 × 231,246
  4. Step 4: Simplify right side
    422,224.56x = 134,741,228,363.10
  5. Step 5: Solve for x
    x = 134,741,228,363.10/422,224.56
  6. Step 6: Final answer
    x = 319,122.19

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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.