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Finding the Fourth Proportional to 405,198.80, 606,923.40 and 263,481.20

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Solution

The fourth proportional to 405,198.80, 606,923.40 and 263,481.20 is: 394,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,198.80 : 606,923.40 = 263,481.20 : x
  2. Step 2: Convert to fraction form
    405,198.80/606,923.40 = 263,481.20/x
  3. Step 3: Cross multiply
    405,198.80x = 606,923.40 × 263,481.20
  4. Step 4: Simplify right side
    405,198.80x = 159,912,905,740.08
  5. Step 5: Solve for x
    x = 159,912,905,740.08/405,198.80
  6. Step 6: Final answer
    x = 394,652.96

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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.