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Finding the Fourth Proportional to 327,405.80, 490,763.10 and 186,861.80

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Solution

The fourth proportional to 327,405.80, 490,763.10 and 186,861.80 is: 280,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,405.80 : 490,763.10 = 186,861.80 : x
  2. Step 2: Convert to fraction form
    327,405.80/490,763.10 = 186,861.80/x
  3. Step 3: Cross multiply
    327,405.80x = 490,763.10 × 186,861.80
  4. Step 4: Simplify right side
    327,405.80x = 91,704,876,239.58
  5. Step 5: Solve for x
    x = 91,704,876,239.58/327,405.80
  6. Step 6: Final answer
    x = 280,095.45

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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.