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Finding the Fourth Proportional to 267,938, 401,786.58 and 192,743

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Solution

The fourth proportional to 267,938, 401,786.58 and 192,743 is: 289,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,938 : 401,786.58 = 192,743 : x
  2. Step 2: Convert to fraction form
    267,938/401,786.58 = 192,743/x
  3. Step 3: Cross multiply
    267,938x = 401,786.58 × 192,743
  4. Step 4: Simplify right side
    267,938x = 77,441,550,788.94
  5. Step 5: Solve for x
    x = 77,441,550,788.94/267,938
  6. Step 6: Final answer
    x = 289,027.88

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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.