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Finding the Fourth Proportional to 256,472.56, 384,786.60 and 181,737.51

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Solution

The fourth proportional to 256,472.56, 384,786.60 and 181,737.51 is: 272,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,472.56 : 384,786.60 = 181,737.51 : x
  2. Step 2: Convert to fraction form
    256,472.56/384,786.60 = 181,737.51/x
  3. Step 3: Cross multiply
    256,472.56x = 384,786.60 × 181,737.51
  4. Step 4: Simplify right side
    256,472.56x = 69,930,158,565.37
  5. Step 5: Solve for x
    x = 69,930,158,565.37/256,472.56
  6. Step 6: Final answer
    x = 272,661.37

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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.