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Finding the Fourth Proportional to 267,378.66, 401,068.53 and 109,578.78

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Solution

The fourth proportional to 267,378.66, 401,068.53 and 109,578.78 is: 164,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,378.66 : 401,068.53 = 109,578.78 : x
  2. Step 2: Convert to fraction form
    267,378.66/401,068.53 = 109,578.78/x
  3. Step 3: Cross multiply
    267,378.66x = 401,068.53 × 109,578.78
  4. Step 4: Simplify right side
    267,378.66x = 43,948,600,213.79
  5. Step 5: Solve for x
    x = 43,948,600,213.79/267,378.66
  6. Step 6: Final answer
    x = 164,368.39

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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.