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Finding the Fourth Proportional to 200,209.82, 300,304.20 and 50,450

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Solution

The fourth proportional to 200,209.82, 300,304.20 and 50,450 is: 75,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,209.82 : 300,304.20 = 50,450 : x
  2. Step 2: Convert to fraction form
    200,209.82/300,304.20 = 50,450/x
  3. Step 3: Cross multiply
    200,209.82x = 300,304.20 × 50,450
  4. Step 4: Simplify right side
    200,209.82x = 15,150,346,890
  5. Step 5: Solve for x
    x = 15,150,346,890/200,209.82
  6. Step 6: Final answer
    x = 75,672.35

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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.