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Finding the Fourth Proportional to 218,770.80, 328,156.20 and 205,484.78

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Solution

The fourth proportional to 218,770.80, 328,156.20 and 205,484.78 is: 308,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,770.80 : 328,156.20 = 205,484.78 : x
  2. Step 2: Convert to fraction form
    218,770.80/328,156.20 = 205,484.78/x
  3. Step 3: Cross multiply
    218,770.80x = 328,156.20 × 205,484.78
  4. Step 4: Simplify right side
    218,770.80x = 67,431,102,921.86
  5. Step 5: Solve for x
    x = 67,431,102,921.86/218,770.80
  6. Step 6: Final answer
    x = 308,227.16

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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.