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Finding the Fourth Proportional to 311,930.87, 467,896.19 and 122,480.37

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Solution

The fourth proportional to 311,930.87, 467,896.19 and 122,480.37 is: 183,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930.87 : 467,896.19 = 122,480.37 : x
  2. Step 2: Convert to fraction form
    311,930.87/467,896.19 = 122,480.37/x
  3. Step 3: Cross multiply
    311,930.87x = 467,896.19 × 122,480.37
  4. Step 4: Simplify right side
    311,930.87x = 57,308,099,615.00
  5. Step 5: Solve for x
    x = 57,308,099,615.00/311,930.87
  6. Step 6: Final answer
    x = 183,720.51

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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.