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Finding the Fourth Proportional to 278,144.96, 416,859.78 and 126,231.08

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Solution

The fourth proportional to 278,144.96, 416,859.78 and 126,231.08 is: 189,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,144.96 : 416,859.78 = 126,231.08 : x
  2. Step 2: Convert to fraction form
    278,144.96/416,859.78 = 126,231.08/x
  3. Step 3: Cross multiply
    278,144.96x = 416,859.78 × 126,231.08
  4. Step 4: Simplify right side
    278,144.96x = 52,620,660,237.96
  5. Step 5: Solve for x
    x = 52,620,660,237.96/278,144.96
  6. Step 6: Final answer
    x = 189,184.30

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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.