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Finding the Fourth Proportional to 198,699.40, 298,049.10 and 135,713.80

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Solution

The fourth proportional to 198,699.40, 298,049.10 and 135,713.80 is: 203,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699.40 : 298,049.10 = 135,713.80 : x
  2. Step 2: Convert to fraction form
    198,699.40/298,049.10 = 135,713.80/x
  3. Step 3: Cross multiply
    198,699.40x = 298,049.10 × 135,713.80
  4. Step 4: Simplify right side
    198,699.40x = 40,449,375,947.58
  5. Step 5: Solve for x
    x = 40,449,375,947.58/198,699.40
  6. Step 6: Final answer
    x = 203,570.70

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1.5x scale

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.