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Finding the Fourth Proportional to 421,969.50, 632,954.25 and 126,481.50

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Solution

The fourth proportional to 421,969.50, 632,954.25 and 126,481.50 is: 189,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969.50 : 632,954.25 = 126,481.50 : x
  2. Step 2: Convert to fraction form
    421,969.50/632,954.25 = 126,481.50/x
  3. Step 3: Cross multiply
    421,969.50x = 632,954.25 × 126,481.50
  4. Step 4: Simplify right side
    421,969.50x = 80,057,002,971.38
  5. Step 5: Solve for x
    x = 80,057,002,971.38/421,969.50
  6. Step 6: Final answer
    x = 189,722.25

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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.