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Finding the Fourth Proportional to 278,639.87, 417,905.39 and 89,049.38

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Solution

The fourth proportional to 278,639.87, 417,905.39 and 89,049.38 is: 133,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,639.87 : 417,905.39 = 89,049.38 : x
  2. Step 2: Convert to fraction form
    278,639.87/417,905.39 = 89,049.38/x
  3. Step 3: Cross multiply
    278,639.87x = 417,905.39 × 89,049.38
  4. Step 4: Simplify right side
    278,639.87x = 37,214,214,011.25
  5. Step 5: Solve for x
    x = 37,214,214,011.25/278,639.87
  6. Step 6: Final answer
    x = 133,556.68

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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.