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Finding the Fourth Proportional to 272,758.21, 408,947.15 and 120,872.59

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Solution

The fourth proportional to 272,758.21, 408,947.15 and 120,872.59 is: 181,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,758.21 : 408,947.15 = 120,872.59 : x
  2. Step 2: Convert to fraction form
    272,758.21/408,947.15 = 120,872.59/x
  3. Step 3: Cross multiply
    272,758.21x = 408,947.15 × 120,872.59
  4. Step 4: Simplify right side
    272,758.21x = 49,430,500,473.43
  5. Step 5: Solve for x
    x = 49,430,500,473.43/272,758.21
  6. Step 6: Final answer
    x = 181,224.61

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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.