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Finding the Fourth Proportional to 256,279.85, 384,450.55 and 106,621.41

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Solution

The fourth proportional to 256,279.85, 384,450.55 and 106,621.41 is: 159,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,279.85 : 384,450.55 = 106,621.41 : x
  2. Step 2: Convert to fraction form
    256,279.85/384,450.55 = 106,621.41/x
  3. Step 3: Cross multiply
    256,279.85x = 384,450.55 × 106,621.41
  4. Step 4: Simplify right side
    256,279.85x = 40,990,659,716.28
  5. Step 5: Solve for x
    x = 40,990,659,716.28/256,279.85
  6. Step 6: Final answer
    x = 159,944.92

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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.