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Finding the Fourth Proportional to 422,428.13, 582,950.81 and 231,445.92

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Solution

The fourth proportional to 422,428.13, 582,950.81 and 231,445.92 is: 319,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,428.13 : 582,950.81 = 231,445.92 : x
  2. Step 2: Convert to fraction form
    422,428.13/582,950.81 = 231,445.92/x
  3. Step 3: Cross multiply
    422,428.13x = 582,950.81 × 231,445.92
  4. Step 4: Simplify right side
    422,428.13x = 134,921,586,535.20
  5. Step 5: Solve for x
    x = 134,921,586,535.20/422,428.13
  6. Step 6: Final answer
    x = 319,395.36

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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.