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Finding the Fourth Proportional to 412,398.65, 618,694.79 and 128,074.52

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Solution

The fourth proportional to 412,398.65, 618,694.79 and 128,074.52 is: 192,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,398.65 : 618,694.79 = 128,074.52 : x
  2. Step 2: Convert to fraction form
    412,398.65/618,694.79 = 128,074.52/x
  3. Step 3: Cross multiply
    412,398.65x = 618,694.79 × 128,074.52
  4. Step 4: Simplify right side
    412,398.65x = 79,239,040,122.67
  5. Step 5: Solve for x
    x = 79,239,040,122.67/412,398.65
  6. Step 6: Final answer
    x = 192,141.85

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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.