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Finding the Fourth Proportional to 422,026.38, 582,396.41 and 231,039.79

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Solution

The fourth proportional to 422,026.38, 582,396.41 and 231,039.79 is: 318,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,026.38 : 582,396.41 = 231,039.79 : x
  2. Step 2: Convert to fraction form
    422,026.38/582,396.41 = 231,039.79/x
  3. Step 3: Cross multiply
    422,026.38x = 582,396.41 × 231,039.79
  4. Step 4: Simplify right side
    422,026.38x = 134,556,743,384.76
  5. Step 5: Solve for x
    x = 134,556,743,384.76/422,026.38
  6. Step 6: Final answer
    x = 318,834.91

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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.