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Finding the Fourth Proportional to 198,715.20, 298,072.80 and 185,593.20

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Solution

The fourth proportional to 198,715.20, 298,072.80 and 185,593.20 is: 278,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,715.20 : 298,072.80 = 185,593.20 : x
  2. Step 2: Convert to fraction form
    198,715.20/298,072.80 = 185,593.20/x
  3. Step 3: Cross multiply
    198,715.20x = 298,072.80 × 185,593.20
  4. Step 4: Simplify right side
    198,715.20x = 55,320,284,784.96
  5. Step 5: Solve for x
    x = 55,320,284,784.96/198,715.20
  6. Step 6: Final answer
    x = 278,389.80

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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.