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Finding the Fourth Proportional to 311,176.80, 467,110.80 and 192,981.60

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Solution

The fourth proportional to 311,176.80, 467,110.80 and 192,981.60 is: 289,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,176.80 : 467,110.80 = 192,981.60 : x
  2. Step 2: Convert to fraction form
    311,176.80/467,110.80 = 192,981.60/x
  3. Step 3: Cross multiply
    311,176.80x = 467,110.80 × 192,981.60
  4. Step 4: Simplify right side
    311,176.80x = 90,143,789,561.28
  5. Step 5: Solve for x
    x = 90,143,789,561.28/311,176.80
  6. Step 6: Final answer
    x = 289,686.73

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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.