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Finding the Fourth Proportional to 256,164.42, 384,238.43 and 115,923.05

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Solution

The fourth proportional to 256,164.42, 384,238.43 and 115,923.05 is: 173,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,164.42 : 384,238.43 = 115,923.05 : x
  2. Step 2: Convert to fraction form
    256,164.42/384,238.43 = 115,923.05/x
  3. Step 3: Cross multiply
    256,164.42x = 384,238.43 × 115,923.05
  4. Step 4: Simplify right side
    256,164.42x = 44,542,088,232.00
  5. Step 5: Solve for x
    x = 44,542,088,232.00/256,164.42
  6. Step 6: Final answer
    x = 173,880.85

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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.