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Finding the Fourth Proportional to 303,857.95, 419,321.52 and 167,891.35

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Solution

The fourth proportional to 303,857.95, 419,321.52 and 167,891.35 is: 231,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,857.95 : 419,321.52 = 167,891.35 : x
  2. Step 2: Convert to fraction form
    303,857.95/419,321.52 = 167,891.35/x
  3. Step 3: Cross multiply
    303,857.95x = 419,321.52 × 167,891.35
  4. Step 4: Simplify right side
    303,857.95x = 70,400,456,076.85
  5. Step 5: Solve for x
    x = 70,400,456,076.85/303,857.95
  6. Step 6: Final answer
    x = 231,688.71

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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.