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Finding the Fourth Proportional to 311,589.72, 467,197.38 and 121,824

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Solution

The fourth proportional to 311,589.72, 467,197.38 and 121,824 is: 182,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,589.72 : 467,197.38 = 121,824 : x
  2. Step 2: Convert to fraction form
    311,589.72/467,197.38 = 121,824/x
  3. Step 3: Cross multiply
    311,589.72x = 467,197.38 × 121,824
  4. Step 4: Simplify right side
    311,589.72x = 56,915,853,621.12
  5. Step 5: Solve for x
    x = 56,915,853,621.12/311,589.72
  6. Step 6: Final answer
    x = 182,662.81

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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.