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Finding the Fourth Proportional to 378,418.27, 522,221.30 and 206,334.84

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Solution

The fourth proportional to 378,418.27, 522,221.30 and 206,334.84 is: 284,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,418.27 : 522,221.30 = 206,334.84 : x
  2. Step 2: Convert to fraction form
    378,418.27/522,221.30 = 206,334.84/x
  3. Step 3: Cross multiply
    378,418.27x = 522,221.30 × 206,334.84
  4. Step 4: Simplify right side
    378,418.27x = 107,752,448,380.09
  5. Step 5: Solve for x
    x = 107,752,448,380.09/378,418.27
  6. Step 6: Final answer
    x = 284,744.31

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1.5x scale

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.