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Finding the Fourth Proportional to 300,477.78, 414,940.32 and 193,234

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Solution

The fourth proportional to 300,477.78, 414,940.32 and 193,234 is: 266,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,477.78 : 414,940.32 = 193,234 : x
  2. Step 2: Convert to fraction form
    300,477.78/414,940.32 = 193,234/x
  3. Step 3: Cross multiply
    300,477.78x = 414,940.32 × 193,234
  4. Step 4: Simplify right side
    300,477.78x = 80,180,577,794.88
  5. Step 5: Solve for x
    x = 80,180,577,794.88/300,477.78
  6. Step 6: Final answer
    x = 266,843.62

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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.