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Finding the Fourth Proportional to 399,578.27, 599,367.80 and 111,378.40

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Solution

The fourth proportional to 399,578.27, 599,367.80 and 111,378.40 is: 167,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,578.27 : 599,367.80 = 111,378.40 : x
  2. Step 2: Convert to fraction form
    399,578.27/599,367.80 = 111,378.40/x
  3. Step 3: Cross multiply
    399,578.27x = 599,367.80 × 111,378.40
  4. Step 4: Simplify right side
    399,578.27x = 66,756,625,355.55
  5. Step 5: Solve for x
    x = 66,756,625,355.55/399,578.27
  6. Step 6: Final answer
    x = 167,067.71

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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.