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Finding the Fourth Proportional to 409,872.85, 614,739.73 and 110,286.65

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Solution

The fourth proportional to 409,872.85, 614,739.73 and 110,286.65 is: 165,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,872.85 : 614,739.73 = 110,286.65 : x
  2. Step 2: Convert to fraction form
    409,872.85/614,739.73 = 110,286.65/x
  3. Step 3: Cross multiply
    409,872.85x = 614,739.73 × 110,286.65
  4. Step 4: Simplify right side
    409,872.85x = 67,797,586,047.05
  5. Step 5: Solve for x
    x = 67,797,586,047.05/409,872.85
  6. Step 6: Final answer
    x = 165,411.27

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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.