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Finding the Fourth Proportional to 412,687.28, 619,120.04 and 128,372.42

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Solution

The fourth proportional to 412,687.28, 619,120.04 and 128,372.42 is: 192,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,687.28 : 619,120.04 = 128,372.42 : x
  2. Step 2: Convert to fraction form
    412,687.28/619,120.04 = 128,372.42/x
  3. Step 3: Cross multiply
    412,687.28x = 619,120.04 × 128,372.42
  4. Step 4: Simplify right side
    412,687.28x = 79,477,934,067.83
  5. Step 5: Solve for x
    x = 79,477,934,067.83/412,687.28
  6. Step 6: Final answer
    x = 192,586.35

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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.