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Finding the Fourth Proportional to 278,591.27, 417,957.57 and 128,939.31

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Solution

The fourth proportional to 278,591.27, 417,957.57 and 128,939.31 is: 193,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,591.27 : 417,957.57 = 128,939.31 : x
  2. Step 2: Convert to fraction form
    278,591.27/417,957.57 = 128,939.31/x
  3. Step 3: Cross multiply
    278,591.27x = 417,957.57 × 128,939.31
  4. Step 4: Simplify right side
    278,591.27x = 53,891,160,685.08
  5. Step 5: Solve for x
    x = 53,891,160,685.08/278,591.27
  6. Step 6: Final answer
    x = 193,441.67

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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.