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Finding the Fourth Proportional to 378,634.67, 522,517.34 and 206,556.30

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Solution

The fourth proportional to 378,634.67, 522,517.34 and 206,556.30 is: 285,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,634.67 : 522,517.34 = 206,556.30 : x
  2. Step 2: Convert to fraction form
    378,634.67/522,517.34 = 206,556.30/x
  3. Step 3: Cross multiply
    378,634.67x = 522,517.34 × 206,556.30
  4. Step 4: Simplify right side
    378,634.67x = 107,929,248,436.24
  5. Step 5: Solve for x
    x = 107,929,248,436.24/378,634.67
  6. Step 6: Final answer
    x = 285,048.51

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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.