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Finding the Fourth Proportional to 412,108.82, 618,252 and 127,793.65

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Solution

The fourth proportional to 412,108.82, 618,252 and 127,793.65 is: 191,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,108.82 : 618,252 = 127,793.65 : x
  2. Step 2: Convert to fraction form
    412,108.82/618,252 = 127,793.65/x
  3. Step 3: Cross multiply
    412,108.82x = 618,252 × 127,793.65
  4. Step 4: Simplify right side
    412,108.82x = 79,008,679,699.80
  5. Step 5: Solve for x
    x = 79,008,679,699.80/412,108.82
  6. Step 6: Final answer
    x = 191,718.00

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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.