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Finding the Fourth Proportional to 378,478.87, 567,715.60 and 138,609.23

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Solution

The fourth proportional to 378,478.87, 567,715.60 and 138,609.23 is: 207,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,478.87 : 567,715.60 = 138,609.23 : x
  2. Step 2: Convert to fraction form
    378,478.87/567,715.60 = 138,609.23/x
  3. Step 3: Cross multiply
    378,478.87x = 567,715.60 × 138,609.23
  4. Step 4: Simplify right side
    378,478.87x = 78,690,619,509.67
  5. Step 5: Solve for x
    x = 78,690,619,509.67/378,478.87
  6. Step 6: Final answer
    x = 207,912.85

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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.