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Finding the Fourth Proportional to 256,197.42, 384,310.12 and 106,452.85

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Solution

The fourth proportional to 256,197.42, 384,310.12 and 106,452.85 is: 159,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,197.42 : 384,310.12 = 106,452.85 : x
  2. Step 2: Convert to fraction form
    256,197.42/384,310.12 = 106,452.85/x
  3. Step 3: Cross multiply
    256,197.42x = 384,310.12 × 106,452.85
  4. Step 4: Simplify right side
    256,197.42x = 40,910,907,557.84
  5. Step 5: Solve for x
    x = 40,910,907,557.84/256,197.42
  6. Step 6: Final answer
    x = 159,685.09

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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.