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Finding the Fourth Proportional to 198,257.44, 297,394.80 and 78,314.08

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Solution

The fourth proportional to 198,257.44, 297,394.80 and 78,314.08 is: 117,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,257.44 : 297,394.80 = 78,314.08 : x
  2. Step 2: Convert to fraction form
    198,257.44/297,394.80 = 78,314.08/x
  3. Step 3: Cross multiply
    198,257.44x = 297,394.80 × 78,314.08
  4. Step 4: Simplify right side
    198,257.44x = 23,290,200,158.78
  5. Step 5: Solve for x
    x = 23,290,200,158.78/198,257.44
  6. Step 6: Final answer
    x = 117,474.53

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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.