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Finding the Fourth Proportional to 422,665.75, 583,278.87 and 231,680.44

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Solution

The fourth proportional to 422,665.75, 583,278.87 and 231,680.44 is: 319,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,665.75 : 583,278.87 = 231,680.44 : x
  2. Step 2: Convert to fraction form
    422,665.75/583,278.87 = 231,680.44/x
  3. Step 3: Cross multiply
    422,665.75x = 583,278.87 × 231,680.44
  4. Step 4: Simplify right side
    422,665.75x = 135,134,305,244.30
  5. Step 5: Solve for x
    x = 135,134,305,244.30/422,665.75
  6. Step 6: Final answer
    x = 319,719.08

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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.