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Finding the Fourth Proportional to 278,125.43, 416,940.66 and 100,592.96

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Solution

The fourth proportional to 278,125.43, 416,940.66 and 100,592.96 is: 150,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,125.43 : 416,940.66 = 100,592.96 : x
  2. Step 2: Convert to fraction form
    278,125.43/416,940.66 = 100,592.96/x
  3. Step 3: Cross multiply
    278,125.43x = 416,940.66 × 100,592.96
  4. Step 4: Simplify right side
    278,125.43x = 41,941,293,049.05
  5. Step 5: Solve for x
    x = 41,941,293,049.05/278,125.43
  6. Step 6: Final answer
    x = 150,799.92

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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.