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Finding the Fourth Proportional to 378,171.97, 521,877.41 and 206,089.98

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Solution

The fourth proportional to 378,171.97, 521,877.41 and 206,089.98 is: 284,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,171.97 : 521,877.41 = 206,089.98 : x
  2. Step 2: Convert to fraction form
    378,171.97/521,877.41 = 206,089.98/x
  3. Step 3: Cross multiply
    378,171.97x = 521,877.41 × 206,089.98
  4. Step 4: Simplify right side
    378,171.97x = 107,553,704,989.35
  5. Step 5: Solve for x
    x = 107,553,704,989.35/378,171.97
  6. Step 6: Final answer
    x = 284,404.22

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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.