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Finding the Fourth Proportional to 422,119.92, 582,519.70 and 231,133.30

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Solution

The fourth proportional to 422,119.92, 582,519.70 and 231,133.30 is: 318,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,119.92 : 582,519.70 = 231,133.30 : x
  2. Step 2: Convert to fraction form
    422,119.92/582,519.70 = 231,133.30/x
  3. Step 3: Cross multiply
    422,119.92x = 582,519.70 × 231,133.30
  4. Step 4: Simplify right side
    422,119.92x = 134,639,699,408.63
  5. Step 5: Solve for x
    x = 134,639,699,408.63/422,119.92
  6. Step 6: Final answer
    x = 318,960.78

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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.