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Finding the Fourth Proportional to 192,378.80, 288,568.20 and 156,949.40

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Solution

The fourth proportional to 192,378.80, 288,568.20 and 156,949.40 is: 235,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,378.80 : 288,568.20 = 156,949.40 : x
  2. Step 2: Convert to fraction form
    192,378.80/288,568.20 = 156,949.40/x
  3. Step 3: Cross multiply
    192,378.80x = 288,568.20 × 156,949.40
  4. Step 4: Simplify right side
    192,378.80x = 45,290,605,849.08
  5. Step 5: Solve for x
    x = 45,290,605,849.08/192,378.80
  6. Step 6: Final answer
    x = 235,424.10

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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.