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Finding the Fourth Proportional to 378,715.59, 522,616.05 and 206,636.85

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Solution

The fourth proportional to 378,715.59, 522,616.05 and 206,636.85 is: 285,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,715.59 : 522,616.05 = 206,636.85 : x
  2. Step 2: Convert to fraction form
    378,715.59/522,616.05 = 206,636.85/x
  3. Step 3: Cross multiply
    378,715.59x = 522,616.05 × 206,636.85
  4. Step 4: Simplify right side
    378,715.59x = 107,991,734,331.44
  5. Step 5: Solve for x
    x = 107,991,734,331.44/378,715.59
  6. Step 6: Final answer
    x = 285,152.60

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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.