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Finding the Fourth Proportional to 471,013.25, 649,992.11 and 256,148.73

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Solution

The fourth proportional to 471,013.25, 649,992.11 and 256,148.73 is: 353,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,013.25 : 649,992.11 = 256,148.73 : x
  2. Step 2: Convert to fraction form
    471,013.25/649,992.11 = 256,148.73/x
  3. Step 3: Cross multiply
    471,013.25x = 649,992.11 × 256,148.73
  4. Step 4: Simplify right side
    471,013.25x = 166,494,652,205.78
  5. Step 5: Solve for x
    x = 166,494,652,205.78/471,013.25
  6. Step 6: Final answer
    x = 353,481.89

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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.