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Finding the Fourth Proportional to 378,280.25, 522,011.01 and 206,194.43

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Solution

The fourth proportional to 378,280.25, 522,011.01 and 206,194.43 is: 284,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,280.25 : 522,011.01 = 206,194.43 : x
  2. Step 2: Convert to fraction form
    378,280.25/522,011.01 = 206,194.43/x
  3. Step 3: Cross multiply
    378,280.25x = 522,011.01 × 206,194.43
  4. Step 4: Simplify right side
    378,280.25x = 107,635,760,050.62
  5. Step 5: Solve for x
    x = 107,635,760,050.62/378,280.25
  6. Step 6: Final answer
    x = 284,539.73

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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.