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Finding the Fourth Proportional to 198,299.44, 297,418.33 and 65,178.78

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Solution

The fourth proportional to 198,299.44, 297,418.33 and 65,178.78 is: 97,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,299.44 : 297,418.33 = 65,178.78 : x
  2. Step 2: Convert to fraction form
    198,299.44/297,418.33 = 65,178.78/x
  3. Step 3: Cross multiply
    198,299.44x = 297,418.33 × 65,178.78
  4. Step 4: Simplify right side
    198,299.44x = 19,385,362,865.19
  5. Step 5: Solve for x
    x = 19,385,362,865.19/198,299.44
  6. Step 6: Final answer
    x = 97,758.03

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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.