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Finding the Fourth Proportional to 422,296.20, 582,770.70 and 231,309

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Solution

The fourth proportional to 422,296.20, 582,770.70 and 231,309 is: 319,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,296.20 : 582,770.70 = 231,309 : x
  2. Step 2: Convert to fraction form
    422,296.20/582,770.70 = 231,309/x
  3. Step 3: Cross multiply
    422,296.20x = 582,770.70 × 231,309
  4. Step 4: Simplify right side
    422,296.20x = 134,800,107,846.30
  5. Step 5: Solve for x
    x = 134,800,107,846.30/422,296.20
  6. Step 6: Final answer
    x = 319,207.48

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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.