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Finding the Fourth Proportional to 376,711.75, 519,865.86 and 206,949.52

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Solution

The fourth proportional to 376,711.75, 519,865.86 and 206,949.52 is: 285,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,711.75 : 519,865.86 = 206,949.52 : x
  2. Step 2: Convert to fraction form
    376,711.75/519,865.86 = 206,949.52/x
  3. Step 3: Cross multiply
    376,711.75x = 519,865.86 × 206,949.52
  4. Step 4: Simplify right side
    376,711.75x = 107,585,990,191.39
  5. Step 5: Solve for x
    x = 107,585,990,191.39/376,711.75
  6. Step 6: Final answer
    x = 285,592.34

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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.