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Finding the Fourth Proportional to 378,682.18, 522,563.17 and 206,589.90

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Solution

The fourth proportional to 378,682.18, 522,563.17 and 206,589.90 is: 285,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,682.18 : 522,563.17 = 206,589.90 : x
  2. Step 2: Convert to fraction form
    378,682.18/522,563.17 = 206,589.90/x
  3. Step 3: Cross multiply
    378,682.18x = 522,563.17 × 206,589.90
  4. Step 4: Simplify right side
    378,682.18x = 107,956,273,033.98
  5. Step 5: Solve for x
    x = 107,956,273,033.98/378,682.18
  6. Step 6: Final answer
    x = 285,084.11

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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.