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Finding the Fourth Proportional to 407,519.86, 611,250.92 and 107,993.80

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Solution

The fourth proportional to 407,519.86, 611,250.92 and 107,993.80 is: 161,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,519.86 : 611,250.92 = 107,993.80 : x
  2. Step 2: Convert to fraction form
    407,519.86/611,250.92 = 107,993.80/x
  3. Step 3: Cross multiply
    407,519.86x = 611,250.92 × 107,993.80
  4. Step 4: Simplify right side
    407,519.86x = 66,011,309,604.30
  5. Step 5: Solve for x
    x = 66,011,309,604.30/407,519.86
  6. Step 6: Final answer
    x = 161,983.05

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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.