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Finding the Fourth Proportional to 378,814.11, 522,776.03 and 206,741.49

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Solution

The fourth proportional to 378,814.11, 522,776.03 and 206,741.49 is: 285,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,814.11 : 522,776.03 = 206,741.49 : x
  2. Step 2: Convert to fraction form
    378,814.11/522,776.03 = 206,741.49/x
  3. Step 3: Cross multiply
    378,814.11x = 522,776.03 × 206,741.49
  4. Step 4: Simplify right side
    378,814.11x = 108,079,494,344.78
  5. Step 5: Solve for x
    x = 108,079,494,344.78/378,814.11
  6. Step 6: Final answer
    x = 285,310.11

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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.