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Finding the Fourth Proportional to 428,010.08, 641,143.15 and 202,687.31

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Solution

The fourth proportional to 428,010.08, 641,143.15 and 202,687.31 is: 303,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,010.08 : 641,143.15 = 202,687.31 : x
  2. Step 2: Convert to fraction form
    428,010.08/641,143.15 = 202,687.31/x
  3. Step 3: Cross multiply
    428,010.08x = 641,143.15 × 202,687.31
  4. Step 4: Simplify right side
    428,010.08x = 129,951,581,494.57
  5. Step 5: Solve for x
    x = 129,951,581,494.57/428,010.08
  6. Step 6: Final answer
    x = 303,618.04

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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.