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Finding the Fourth Proportional to 218,780.80, 328,171.20 and 200,081.95

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Solution

The fourth proportional to 218,780.80, 328,171.20 and 200,081.95 is: 300,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,780.80 : 328,171.20 = 200,081.95 : x
  2. Step 2: Convert to fraction form
    218,780.80/328,171.20 = 200,081.95/x
  3. Step 3: Cross multiply
    218,780.80x = 328,171.20 × 200,081.95
  4. Step 4: Simplify right side
    218,780.80x = 65,661,133,629.84
  5. Step 5: Solve for x
    x = 65,661,133,629.84/218,780.80
  6. Step 6: Final answer
    x = 300,122.93

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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.