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Finding the Fourth Proportional to 408,049.80, 612,074.70 and 313,571.40

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Solution

The fourth proportional to 408,049.80, 612,074.70 and 313,571.40 is: 470,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.80 : 612,074.70 = 313,571.40 : x
  2. Step 2: Convert to fraction form
    408,049.80/612,074.70 = 313,571.40/x
  3. Step 3: Cross multiply
    408,049.80x = 612,074.70 × 313,571.40
  4. Step 4: Simplify right side
    408,049.80x = 191,929,120,583.58
  5. Step 5: Solve for x
    x = 191,929,120,583.58/408,049.80
  6. Step 6: Final answer
    x = 470,357.10

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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.