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Finding the Fourth Proportional to 311,580.39, 467,449.31 and 86,940.67

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Solution

The fourth proportional to 311,580.39, 467,449.31 and 86,940.67 is: 130,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580.39 : 467,449.31 = 86,940.67 : x
  2. Step 2: Convert to fraction form
    311,580.39/467,449.31 = 86,940.67/x
  3. Step 3: Cross multiply
    311,580.39x = 467,449.31 × 86,940.67
  4. Step 4: Simplify right side
    311,580.39x = 40,640,356,202.44
  5. Step 5: Solve for x
    x = 40,640,356,202.44/311,580.39
  6. Step 6: Final answer
    x = 130,432.97

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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.