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Finding the Fourth Proportional to 267,378.16, 401,067.78 and 109,578.28

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Solution

The fourth proportional to 267,378.16, 401,067.78 and 109,578.28 is: 164,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,378.16 : 401,067.78 = 109,578.28 : x
  2. Step 2: Convert to fraction form
    267,378.16/401,067.78 = 109,578.28/x
  3. Step 3: Cross multiply
    267,378.16x = 401,067.78 × 109,578.28
  4. Step 4: Simplify right side
    267,378.16x = 43,948,317,495.82
  5. Step 5: Solve for x
    x = 43,948,317,495.82/267,378.16
  6. Step 6: Final answer
    x = 164,367.64

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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.