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Finding the Fourth Proportional to 378,171.66, 521,876.98 and 206,089.67

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Solution

The fourth proportional to 378,171.66, 521,876.98 and 206,089.67 is: 284,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,171.66 : 521,876.98 = 206,089.67 : x
  2. Step 2: Convert to fraction form
    378,171.66/521,876.98 = 206,089.67/x
  3. Step 3: Cross multiply
    378,171.66x = 521,876.98 × 206,089.67
  4. Step 4: Simplify right side
    378,171.66x = 107,553,454,588.80
  5. Step 5: Solve for x
    x = 107,553,454,588.80/378,171.66
  6. Step 6: Final answer
    x = 284,403.79

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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.