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Finding the Fourth Proportional to 345,812.80, 477,262.72 and 192,876

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Solution

The fourth proportional to 345,812.80, 477,262.72 and 192,876 is: 266,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,812.80 : 477,262.72 = 192,876 : x
  2. Step 2: Convert to fraction form
    345,812.80/477,262.72 = 192,876/x
  3. Step 3: Cross multiply
    345,812.80x = 477,262.72 × 192,876
  4. Step 4: Simplify right side
    345,812.80x = 92,052,524,382.72
  5. Step 5: Solve for x
    x = 92,052,524,382.72/345,812.80
  6. Step 6: Final answer
    x = 266,191.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.