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Finding the Fourth Proportional to 305,751.73, 421,940.34 and 178,402.72

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Solution

The fourth proportional to 305,751.73, 421,940.34 and 178,402.72 is: 246,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,751.73 : 421,940.34 = 178,402.72 : x
  2. Step 2: Convert to fraction form
    305,751.73/421,940.34 = 178,402.72/x
  3. Step 3: Cross multiply
    305,751.73x = 421,940.34 × 178,402.72
  4. Step 4: Simplify right side
    305,751.73x = 75,275,304,333.72
  5. Step 5: Solve for x
    x = 75,275,304,333.72/305,751.73
  6. Step 6: Final answer
    x = 246,197.48

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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.