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Finding the Fourth Proportional to 198,689, 298,034.22 and 188,722.76

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Solution

The fourth proportional to 198,689, 298,034.22 and 188,722.76 is: 283,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,689 : 298,034.22 = 188,722.76 : x
  2. Step 2: Convert to fraction form
    198,689/298,034.22 = 188,722.76/x
  3. Step 3: Cross multiply
    198,689x = 298,034.22 × 188,722.76
  4. Step 4: Simplify right side
    198,689x = 56,245,840,572.85
  5. Step 5: Solve for x
    x = 56,245,840,572.85/198,689
  6. Step 6: Final answer
    x = 283,084.82

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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.