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Finding the Fourth Proportional to 311,175.95, 428,584.16 and 268,660.67

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Solution

The fourth proportional to 311,175.95, 428,584.16 and 268,660.67 is: 370,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,175.95 : 428,584.16 = 268,660.67 : x
  2. Step 2: Convert to fraction form
    311,175.95/428,584.16 = 268,660.67/x
  3. Step 3: Cross multiply
    311,175.95x = 428,584.16 × 268,660.67
  4. Step 4: Simplify right side
    311,175.95x = 115,143,706,105.72
  5. Step 5: Solve for x
    x = 115,143,706,105.72/311,175.95
  6. Step 6: Final answer
    x = 370,027.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.