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Finding the Fourth Proportional to 278,800.76, 384,732.50 and 157,939.58

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Solution

The fourth proportional to 278,800.76, 384,732.50 and 157,939.58 is: 217,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,800.76 : 384,732.50 = 157,939.58 : x
  2. Step 2: Convert to fraction form
    278,800.76/384,732.50 = 157,939.58/x
  3. Step 3: Cross multiply
    278,800.76x = 384,732.50 × 157,939.58
  4. Step 4: Simplify right side
    278,800.76x = 60,764,489,462.35
  5. Step 5: Solve for x
    x = 60,764,489,462.35/278,800.76
  6. Step 6: Final answer
    x = 217,949.51

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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.