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Finding the Fourth Proportional to 378,117.16, 521,794.92 and 206,036.61

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Solution

The fourth proportional to 378,117.16, 521,794.92 and 206,036.61 is: 284,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,117.16 : 521,794.92 = 206,036.61 : x
  2. Step 2: Convert to fraction form
    378,117.16/521,794.92 = 206,036.61/x
  3. Step 3: Cross multiply
    378,117.16x = 521,794.92 × 206,036.61
  4. Step 4: Simplify right side
    378,117.16x = 107,508,858,002.43
  5. Step 5: Solve for x
    x = 107,508,858,002.43/378,117.16
  6. Step 6: Final answer
    x = 284,326.84

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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.