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Finding the Fourth Proportional to 256,553.32, 384,409.29 and 181,305.94

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Solution

The fourth proportional to 256,553.32, 384,409.29 and 181,305.94 is: 271,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553.32 : 384,409.29 = 181,305.94 : x
  2. Step 2: Convert to fraction form
    256,553.32/384,409.29 = 181,305.94/x
  3. Step 3: Cross multiply
    256,553.32x = 384,409.29 × 181,305.94
  4. Step 4: Simplify right side
    256,553.32x = 69,695,687,668.18
  5. Step 5: Solve for x
    x = 69,695,687,668.18/256,553.32
  6. Step 6: Final answer
    x = 271,661.61

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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.