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Finding the Fourth Proportional to 408,049.90, 612,074.85 and 404,113.30

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Solution

The fourth proportional to 408,049.90, 612,074.85 and 404,113.30 is: 606,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.90 : 612,074.85 = 404,113.30 : x
  2. Step 2: Convert to fraction form
    408,049.90/612,074.85 = 404,113.30/x
  3. Step 3: Cross multiply
    408,049.90x = 612,074.85 × 404,113.30
  4. Step 4: Simplify right side
    408,049.90x = 247,347,587,480.51
  5. Step 5: Solve for x
    x = 247,347,587,480.51/408,049.90
  6. Step 6: Final answer
    x = 606,169.95

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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.