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Finding the Fourth Proportional to 408,734.37, 612,215.42 and 197,930.25

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Solution

The fourth proportional to 408,734.37, 612,215.42 and 197,930.25 is: 296,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,734.37 : 612,215.42 = 197,930.25 : x
  2. Step 2: Convert to fraction form
    408,734.37/612,215.42 = 197,930.25/x
  3. Step 3: Cross multiply
    408,734.37x = 612,215.42 × 197,930.25
  4. Step 4: Simplify right side
    408,734.37x = 121,175,950,144.80
  5. Step 5: Solve for x
    x = 121,175,950,144.80/408,734.37
  6. Step 6: Final answer
    x = 296,466.26

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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.