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Finding the Fourth Proportional to 256,198.42, 384,311.62 and 106,453.85

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Solution

The fourth proportional to 256,198.42, 384,311.62 and 106,453.85 is: 159,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,198.42 : 384,311.62 = 106,453.85 : x
  2. Step 2: Convert to fraction form
    256,198.42/384,311.62 = 106,453.85/x
  3. Step 3: Cross multiply
    256,198.42x = 384,311.62 × 106,453.85
  4. Step 4: Simplify right side
    256,198.42x = 40,911,451,548.74
  5. Step 5: Solve for x
    x = 40,911,451,548.74/256,198.42
  6. Step 6: Final answer
    x = 159,686.59

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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.