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Finding the Fourth Proportional to 428,049.60, 641,383.20 and 269,995.20

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Solution

The fourth proportional to 428,049.60, 641,383.20 and 269,995.20 is: 404,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,049.60 : 641,383.20 = 269,995.20 : x
  2. Step 2: Convert to fraction form
    428,049.60/641,383.20 = 269,995.20/x
  3. Step 3: Cross multiply
    428,049.60x = 641,383.20 × 269,995.20
  4. Step 4: Simplify right side
    428,049.60x = 173,170,385,360.64
  5. Step 5: Solve for x
    x = 173,170,385,360.64/428,049.60
  6. Step 6: Final answer
    x = 404,556.82

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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.