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Finding the Fourth Proportional to 422,171.52, 582,570 and 231,187.20

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Solution

The fourth proportional to 422,171.52, 582,570 and 231,187.20 is: 319,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,171.52 : 582,570 = 231,187.20 : x
  2. Step 2: Convert to fraction form
    422,171.52/582,570 = 231,187.20/x
  3. Step 3: Cross multiply
    422,171.52x = 582,570 × 231,187.20
  4. Step 4: Simplify right side
    422,171.52x = 134,682,727,104
  5. Step 5: Solve for x
    x = 134,682,727,104/422,171.52
  6. Step 6: Final answer
    x = 319,023.72

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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.