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Finding the Fourth Proportional to 256,471.56, 384,785.10 and 181,736.51

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Solution

The fourth proportional to 256,471.56, 384,785.10 and 181,736.51 is: 272,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,471.56 : 384,785.10 = 181,736.51 : x
  2. Step 2: Convert to fraction form
    256,471.56/384,785.10 = 181,736.51/x
  3. Step 3: Cross multiply
    256,471.56x = 384,785.10 × 181,736.51
  4. Step 4: Simplify right side
    256,471.56x = 69,929,499,250.08
  5. Step 5: Solve for x
    x = 69,929,499,250.08/256,471.56
  6. Step 6: Final answer
    x = 272,659.86

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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.