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Finding the Fourth Proportional to 242,821.20, 364,231.80 and 217,233.30

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Solution

The fourth proportional to 242,821.20, 364,231.80 and 217,233.30 is: 325,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,821.20 : 364,231.80 = 217,233.30 : x
  2. Step 2: Convert to fraction form
    242,821.20/364,231.80 = 217,233.30/x
  3. Step 3: Cross multiply
    242,821.20x = 364,231.80 × 217,233.30
  4. Step 4: Simplify right side
    242,821.20x = 79,123,275,878.94
  5. Step 5: Solve for x
    x = 79,123,275,878.94/242,821.20
  6. Step 6: Final answer
    x = 325,849.95

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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.