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Finding the Fourth Proportional to 681,876, 1,022,855.01 and 208,565.46

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Solution

The fourth proportional to 681,876, 1,022,855.01 and 208,565.46 is: 312,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,876 : 1,022,855.01 = 208,565.46 : x
  2. Step 2: Convert to fraction form
    681,876/1,022,855.01 = 208,565.46/x
  3. Step 3: Cross multiply
    681,876x = 1,022,855.01 × 208,565.46
  4. Step 4: Simplify right side
    681,876x = 213,332,224,891.83
  5. Step 5: Solve for x
    x = 213,332,224,891.83/681,876
  6. Step 6: Final answer
    x = 312,860.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.