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Finding the Fourth Proportional to 198,850.40, 298,081.20 and 177,855.20

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Solution

The fourth proportional to 198,850.40, 298,081.20 and 177,855.20 is: 266,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,850.40 : 298,081.20 = 177,855.20 : x
  2. Step 2: Convert to fraction form
    198,850.40/298,081.20 = 177,855.20/x
  3. Step 3: Cross multiply
    198,850.40x = 298,081.20 × 177,855.20
  4. Step 4: Simplify right side
    198,850.40x = 53,015,291,442.24
  5. Step 5: Solve for x
    x = 53,015,291,442.24/198,850.40
  6. Step 6: Final answer
    x = 266,608.93

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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.