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Finding the Fourth Proportional to 278,200.77, 383,912.52 and 157,337.52

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Solution

The fourth proportional to 278,200.77, 383,912.52 and 157,337.52 is: 217,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,200.77 : 383,912.52 = 157,337.52 : x
  2. Step 2: Convert to fraction form
    278,200.77/383,912.52 = 157,337.52/x
  3. Step 3: Cross multiply
    278,200.77x = 383,912.52 × 157,337.52
  4. Step 4: Simplify right side
    278,200.77x = 60,403,843,793.75
  5. Step 5: Solve for x
    x = 60,403,843,793.75/278,200.77
  6. Step 6: Final answer
    x = 217,123.21

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1.5x scale

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.