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Finding the Fourth Proportional to 198,361.57, 297,433 and 103,354.65

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Solution

The fourth proportional to 198,361.57, 297,433 and 103,354.65 is: 154,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,361.57 : 297,433 = 103,354.65 : x
  2. Step 2: Convert to fraction form
    198,361.57/297,433 = 103,354.65/x
  3. Step 3: Cross multiply
    198,361.57x = 297,433 × 103,354.65
  4. Step 4: Simplify right side
    198,361.57x = 30,741,083,613.45
  5. Step 5: Solve for x
    x = 30,741,083,613.45/198,361.57
  6. Step 6: Final answer
    x = 154,975.00

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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.