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Finding the Fourth Proportional to 301,556.40, 451,816.20 and 196,321.20

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Solution

The fourth proportional to 301,556.40, 451,816.20 and 196,321.20 is: 294,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,556.40 : 451,816.20 = 196,321.20 : x
  2. Step 2: Convert to fraction form
    301,556.40/451,816.20 = 196,321.20/x
  3. Step 3: Cross multiply
    301,556.40x = 451,816.20 × 196,321.20
  4. Step 4: Simplify right side
    301,556.40x = 88,701,098,563.44
  5. Step 5: Solve for x
    x = 88,701,098,563.44/301,556.40
  6. Step 6: Final answer
    x = 294,144.31

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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.