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Finding the Fourth Proportional to 256,893.76, 385,451.36 and 107,163.52

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Solution

The fourth proportional to 256,893.76, 385,451.36 and 107,163.52 is: 160,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,893.76 : 385,451.36 = 107,163.52 : x
  2. Step 2: Convert to fraction form
    256,893.76/385,451.36 = 107,163.52/x
  3. Step 3: Cross multiply
    256,893.76x = 385,451.36 × 107,163.52
  4. Step 4: Simplify right side
    256,893.76x = 41,306,324,526.39
  5. Step 5: Solve for x
    x = 41,306,324,526.39/256,893.76
  6. Step 6: Final answer
    x = 160,791.47

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1.5x scale

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.