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Finding the Fourth Proportional to 279,409.91, 419,185.60 and 79,731

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Solution

The fourth proportional to 279,409.91, 419,185.60 and 79,731 is: 119,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,409.91 : 419,185.60 = 79,731 : x
  2. Step 2: Convert to fraction form
    279,409.91/419,185.60 = 79,731/x
  3. Step 3: Cross multiply
    279,409.91x = 419,185.60 × 79,731
  4. Step 4: Simplify right side
    279,409.91x = 33,422,086,874.27
  5. Step 5: Solve for x
    x = 33,422,086,874.27/279,409.91
  6. Step 6: Final answer
    x = 119,616.69

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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.