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Finding the Fourth Proportional to 378,377.56, 522,160.88 and 206,295.67

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Solution

The fourth proportional to 378,377.56, 522,160.88 and 206,295.67 is: 284,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,377.56 : 522,160.88 = 206,295.67 : x
  2. Step 2: Convert to fraction form
    378,377.56/522,160.88 = 206,295.67/x
  3. Step 3: Cross multiply
    378,377.56x = 522,160.88 × 206,295.67
  4. Step 4: Simplify right side
    378,377.56x = 107,719,530,013.70
  5. Step 5: Solve for x
    x = 107,719,530,013.70/378,377.56
  6. Step 6: Final answer
    x = 284,687.94

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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.