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Finding the Fourth Proportional to 200,432.20, 300,662.34 and 80,489.15

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Solution

The fourth proportional to 200,432.20, 300,662.34 and 80,489.15 is: 120,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.20 : 300,662.34 = 80,489.15 : x
  2. Step 2: Convert to fraction form
    200,432.20/300,662.34 = 80,489.15/x
  3. Step 3: Cross multiply
    200,432.20x = 300,662.34 × 80,489.15
  4. Step 4: Simplify right side
    200,432.20x = 24,200,054,378.47
  5. Step 5: Solve for x
    x = 24,200,054,378.47/200,432.20
  6. Step 6: Final answer
    x = 120,739.35

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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.