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Finding the Fourth Proportional to 378,401.92, 522,198.74 and 206,318.50

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Solution

The fourth proportional to 378,401.92, 522,198.74 and 206,318.50 is: 284,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401.92 : 522,198.74 = 206,318.50 : x
  2. Step 2: Convert to fraction form
    378,401.92/522,198.74 = 206,318.50/x
  3. Step 3: Cross multiply
    378,401.92x = 522,198.74 × 206,318.50
  4. Step 4: Simplify right side
    378,401.92x = 107,739,259,948.99
  5. Step 5: Solve for x
    x = 107,739,259,948.99/378,401.92
  6. Step 6: Final answer
    x = 284,721.76

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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.