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Finding the Fourth Proportional to 412,159.28, 618,327.46 and 127,843.88

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Solution

The fourth proportional to 412,159.28, 618,327.46 and 127,843.88 is: 191,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,159.28 : 618,327.46 = 127,843.88 : x
  2. Step 2: Convert to fraction form
    412,159.28/618,327.46 = 127,843.88/x
  3. Step 3: Cross multiply
    412,159.28x = 618,327.46 × 127,843.88
  4. Step 4: Simplify right side
    412,159.28x = 79,049,381,596.94
  5. Step 5: Solve for x
    x = 79,049,381,596.94/412,159.28
  6. Step 6: Final answer
    x = 191,793.28

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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.