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Finding the Fourth Proportional to 539,469.20, 809,527.80 and 223,893.20

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Solution

The fourth proportional to 539,469.20, 809,527.80 and 223,893.20 is: 335,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,469.20 : 809,527.80 = 223,893.20 : x
  2. Step 2: Convert to fraction form
    539,469.20/809,527.80 = 223,893.20/x
  3. Step 3: Cross multiply
    539,469.20x = 809,527.80 × 223,893.20
  4. Step 4: Simplify right side
    539,469.20x = 181,247,769,630.96
  5. Step 5: Solve for x
    x = 181,247,769,630.96/539,469.20
  6. Step 6: Final answer
    x = 335,974.27

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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.