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Finding the Fourth Proportional to 204,330.40, 305,912.40 and 198,498.40

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Solution

The fourth proportional to 204,330.40, 305,912.40 and 198,498.40 is: 297,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,330.40 : 305,912.40 = 198,498.40 : x
  2. Step 2: Convert to fraction form
    204,330.40/305,912.40 = 198,498.40/x
  3. Step 3: Cross multiply
    204,330.40x = 305,912.40 × 198,498.40
  4. Step 4: Simplify right side
    204,330.40x = 60,723,121,940.16
  5. Step 5: Solve for x
    x = 60,723,121,940.16/204,330.40
  6. Step 6: Final answer
    x = 297,181.05

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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.