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Finding the Fourth Proportional to 428,286.60, 641,738.70 and 270,232.20

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Solution

The fourth proportional to 428,286.60, 641,738.70 and 270,232.20 is: 404,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,286.60 : 641,738.70 = 270,232.20 : x
  2. Step 2: Convert to fraction form
    428,286.60/641,738.70 = 270,232.20/x
  3. Step 3: Cross multiply
    428,286.60x = 641,738.70 × 270,232.20
  4. Step 4: Simplify right side
    428,286.60x = 173,418,460,726.14
  5. Step 5: Solve for x
    x = 173,418,460,726.14/428,286.60
  6. Step 6: Final answer
    x = 404,912.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.