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Finding the Fourth Proportional to 204,329.40, 305,910.90 and 198,497.40

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Solution

The fourth proportional to 204,329.40, 305,910.90 and 198,497.40 is: 297,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,329.40 : 305,910.90 = 198,497.40 : x
  2. Step 2: Convert to fraction form
    204,329.40/305,910.90 = 198,497.40/x
  3. Step 3: Cross multiply
    204,329.40x = 305,910.90 × 198,497.40
  4. Step 4: Simplify right side
    204,329.40x = 60,722,518,281.66
  5. Step 5: Solve for x
    x = 60,722,518,281.66/204,329.40
  6. Step 6: Final answer
    x = 297,179.55

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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.