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Finding the Fourth Proportional to 408,020.68, 611,512.80 and 230,627.44

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Solution

The fourth proportional to 408,020.68, 611,512.80 and 230,627.44 is: 345,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,020.68 : 611,512.80 = 230,627.44 : x
  2. Step 2: Convert to fraction form
    408,020.68/611,512.80 = 230,627.44/x
  3. Step 3: Cross multiply
    408,020.68x = 611,512.80 × 230,627.44
  4. Step 4: Simplify right side
    408,020.68x = 141,031,631,591.23
  5. Step 5: Solve for x
    x = 141,031,631,591.23/408,020.68
  6. Step 6: Final answer
    x = 345,648.24

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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.