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Finding the Fourth Proportional to 321,013.98, 442,993.79 and 177,770.95

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Solution

The fourth proportional to 321,013.98, 442,993.79 and 177,770.95 is: 245,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,013.98 : 442,993.79 = 177,770.95 : x
  2. Step 2: Convert to fraction form
    321,013.98/442,993.79 = 177,770.95/x
  3. Step 3: Cross multiply
    321,013.98x = 442,993.79 × 177,770.95
  4. Step 4: Simplify right side
    321,013.98x = 78,751,426,229.34
  5. Step 5: Solve for x
    x = 78,751,426,229.34/321,013.98
  6. Step 6: Final answer
    x = 245,320.86

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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.