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Finding the Fourth Proportional to 199,251.27, 298,729.28 and 120,347.05

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Solution

The fourth proportional to 199,251.27, 298,729.28 and 120,347.05 is: 180,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,251.27 : 298,729.28 = 120,347.05 : x
  2. Step 2: Convert to fraction form
    199,251.27/298,729.28 = 120,347.05/x
  3. Step 3: Cross multiply
    199,251.27x = 298,729.28 × 120,347.05
  4. Step 4: Simplify right side
    199,251.27x = 35,951,187,596.62
  5. Step 5: Solve for x
    x = 35,951,187,596.62/199,251.27
  6. Step 6: Final answer
    x = 180,431.41

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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.