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Finding the Fourth Proportional to 378,169.93, 521,874.61 and 206,087.95

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Solution

The fourth proportional to 378,169.93, 521,874.61 and 206,087.95 is: 284,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,169.93 : 521,874.61 = 206,087.95 : x
  2. Step 2: Convert to fraction form
    378,169.93/521,874.61 = 206,087.95/x
  3. Step 3: Cross multiply
    378,169.93x = 521,874.61 × 206,087.95
  4. Step 4: Simplify right side
    378,169.93x = 107,552,065,733.53
  5. Step 5: Solve for x
    x = 107,552,065,733.53/378,169.93
  6. Step 6: Final answer
    x = 284,401.42

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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.