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Finding the Fourth Proportional to 381,786.22, 527,128.59 and 238,610.62

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Solution

The fourth proportional to 381,786.22, 527,128.59 and 238,610.62 is: 329,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,786.22 : 527,128.59 = 238,610.62 : x
  2. Step 2: Convert to fraction form
    381,786.22/527,128.59 = 238,610.62/x
  3. Step 3: Cross multiply
    381,786.22x = 527,128.59 × 238,610.62
  4. Step 4: Simplify right side
    381,786.22x = 125,778,479,679.63
  5. Step 5: Solve for x
    x = 125,778,479,679.63/381,786.22
  6. Step 6: Final answer
    x = 329,447.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.