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Finding the Fourth Proportional to 198,419.38, 297,608.80 and 54,338.01

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Solution

The fourth proportional to 198,419.38, 297,608.80 and 54,338.01 is: 81,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,419.38 : 297,608.80 = 54,338.01 : x
  2. Step 2: Convert to fraction form
    198,419.38/297,608.80 = 54,338.01/x
  3. Step 3: Cross multiply
    198,419.38x = 297,608.80 × 54,338.01
  4. Step 4: Simplify right side
    198,419.38x = 16,171,471,082.33
  5. Step 5: Solve for x
    x = 16,171,471,082.33/198,419.38
  6. Step 6: Final answer
    x = 81,501.47

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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.