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Finding the Fourth Proportional to 422,020.30, 582,388.00 and 231,033.69

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Solution

The fourth proportional to 422,020.30, 582,388.00 and 231,033.69 is: 318,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,020.30 : 582,388.00 = 231,033.69 : x
  2. Step 2: Convert to fraction form
    422,020.30/582,388.00 = 231,033.69/x
  3. Step 3: Cross multiply
    422,020.30x = 582,388.00 × 231,033.69
  4. Step 4: Simplify right side
    422,020.30x = 134,551,250,361.88
  5. Step 5: Solve for x
    x = 134,551,250,361.88/422,020.30
  6. Step 6: Final answer
    x = 318,826.49

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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.