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Finding the Fourth Proportional to 278,608.74, 384,469.52 and 157,725.96

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Solution

The fourth proportional to 278,608.74, 384,469.52 and 157,725.96 is: 217,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,608.74 : 384,469.52 = 157,725.96 : x
  2. Step 2: Convert to fraction form
    278,608.74/384,469.52 = 157,725.96/x
  3. Step 3: Cross multiply
    278,608.74x = 384,469.52 × 157,725.96
  4. Step 4: Simplify right side
    278,608.74x = 60,640,823,344.11
  5. Step 5: Solve for x
    x = 60,640,823,344.11/278,608.74
  6. Step 6: Final answer
    x = 217,655.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.