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Finding the Fourth Proportional to 256,183.90, 384,289.87 and 106,439.33

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Solution

The fourth proportional to 256,183.90, 384,289.87 and 106,439.33 is: 159,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,183.90 : 384,289.87 = 106,439.33 : x
  2. Step 2: Convert to fraction form
    256,183.90/384,289.87 = 106,439.33/x
  3. Step 3: Cross multiply
    256,183.90x = 384,289.87 × 106,439.33
  4. Step 4: Simplify right side
    256,183.90x = 40,903,555,756.39
  5. Step 5: Solve for x
    x = 40,903,555,756.39/256,183.90
  6. Step 6: Final answer
    x = 159,664.82

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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.