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Finding the Fourth Proportional to 256,684.79, 384,997.75 and 67,163.48

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Solution

The fourth proportional to 256,684.79, 384,997.75 and 67,163.48 is: 100,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684.79 : 384,997.75 = 67,163.48 : x
  2. Step 2: Convert to fraction form
    256,684.79/384,997.75 = 67,163.48/x
  3. Step 3: Cross multiply
    256,684.79x = 384,997.75 × 67,163.48
  4. Step 4: Simplify right side
    256,684.79x = 25,857,786,757.18
  5. Step 5: Solve for x
    x = 25,857,786,757.18/256,684.79
  6. Step 6: Final answer
    x = 100,737.51

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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.