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Finding the Fourth Proportional to 256,163.10, 384,289.20 and 106,321.20

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Solution

The fourth proportional to 256,163.10, 384,289.20 and 106,321.20 is: 159,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,163.10 : 384,289.20 = 106,321.20 : x
  2. Step 2: Convert to fraction form
    256,163.10/384,289.20 = 106,321.20/x
  3. Step 3: Cross multiply
    256,163.10x = 384,289.20 × 106,321.20
  4. Step 4: Simplify right side
    256,163.10x = 40,858,088,891.04
  5. Step 5: Solve for x
    x = 40,858,088,891.04/256,163.10
  6. Step 6: Final answer
    x = 159,500.29

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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.