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Finding the Fourth Proportional to 489,375.10, 734,026.20 and 204,992.20

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Solution

The fourth proportional to 489,375.10, 734,026.20 and 204,992.20 is: 307,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,375.10 : 734,026.20 = 204,992.20 : x
  2. Step 2: Convert to fraction form
    489,375.10/734,026.20 = 204,992.20/x
  3. Step 3: Cross multiply
    489,375.10x = 734,026.20 × 204,992.20
  4. Step 4: Simplify right side
    489,375.10x = 150,469,645,595.64
  5. Step 5: Solve for x
    x = 150,469,645,595.64/489,375.10
  6. Step 6: Final answer
    x = 307,473.03

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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.