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Finding the Fourth Proportional to 408,224.80, 612,337.20 and 123,914.80

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Solution

The fourth proportional to 408,224.80, 612,337.20 and 123,914.80 is: 185,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,224.80 : 612,337.20 = 123,914.80 : x
  2. Step 2: Convert to fraction form
    408,224.80/612,337.20 = 123,914.80/x
  3. Step 3: Cross multiply
    408,224.80x = 612,337.20 × 123,914.80
  4. Step 4: Simplify right side
    408,224.80x = 75,877,641,670.56
  5. Step 5: Solve for x
    x = 75,877,641,670.56/408,224.80
  6. Step 6: Final answer
    x = 185,872.20

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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.