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Finding the Fourth Proportional to 324,048.20, 486,072.30 and 87,414.80

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Solution

The fourth proportional to 324,048.20, 486,072.30 and 87,414.80 is: 131,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,048.20 : 486,072.30 = 87,414.80 : x
  2. Step 2: Convert to fraction form
    324,048.20/486,072.30 = 87,414.80/x
  3. Step 3: Cross multiply
    324,048.20x = 486,072.30 × 87,414.80
  4. Step 4: Simplify right side
    324,048.20x = 42,489,912,890.04
  5. Step 5: Solve for x
    x = 42,489,912,890.04/324,048.20
  6. Step 6: Final answer
    x = 131,122.20

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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.