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Finding the Fourth Proportional to 408,255.40, 612,310.20 and 258,227.20

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Solution

The fourth proportional to 408,255.40, 612,310.20 and 258,227.20 is: 387,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,255.40 : 612,310.20 = 258,227.20 : x
  2. Step 2: Convert to fraction form
    408,255.40/612,310.20 = 258,227.20/x
  3. Step 3: Cross multiply
    408,255.40x = 612,310.20 × 258,227.20
  4. Step 4: Simplify right side
    408,255.40x = 158,115,148,477.44
  5. Step 5: Solve for x
    x = 158,115,148,477.44/408,255.40
  6. Step 6: Final answer
    x = 387,294.69

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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.