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Finding the Fourth Proportional to 207,909.20, 311,863.80 and 192,162.80

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Solution

The fourth proportional to 207,909.20, 311,863.80 and 192,162.80 is: 288,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909.20 : 311,863.80 = 192,162.80 : x
  2. Step 2: Convert to fraction form
    207,909.20/311,863.80 = 192,162.80/x
  3. Step 3: Cross multiply
    207,909.20x = 311,863.80 × 192,162.80
  4. Step 4: Simplify right side
    207,909.20x = 59,928,621,026.64
  5. Step 5: Solve for x
    x = 59,928,621,026.64/207,909.20
  6. Step 6: Final answer
    x = 288,244.20

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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.