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Finding the Fourth Proportional to 378,604.52, 522,484.10 and 206,525.39

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Solution

The fourth proportional to 378,604.52, 522,484.10 and 206,525.39 is: 285,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,604.52 : 522,484.10 = 206,525.39 : x
  2. Step 2: Convert to fraction form
    378,604.52/522,484.10 = 206,525.39/x
  3. Step 3: Cross multiply
    378,604.52x = 522,484.10 × 206,525.39
  4. Step 4: Simplify right side
    378,604.52x = 107,906,228,876.25
  5. Step 5: Solve for x
    x = 107,906,228,876.25/378,604.52
  6. Step 6: Final answer
    x = 285,010.41

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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.