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Finding the Fourth Proportional to 422,122.28, 582,522.95 and 231,135.68

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Solution

The fourth proportional to 422,122.28, 582,522.95 and 231,135.68 is: 318,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,122.28 : 582,522.95 = 231,135.68 : x
  2. Step 2: Convert to fraction form
    422,122.28/582,522.95 = 231,135.68/x
  3. Step 3: Cross multiply
    422,122.28x = 582,522.95 × 231,135.68
  4. Step 4: Simplify right side
    422,122.28x = 134,641,834,095.56
  5. Step 5: Solve for x
    x = 134,641,834,095.56/422,122.28
  6. Step 6: Final answer
    x = 318,964.06

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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.