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Finding the Fourth Proportional to 442,969.72, 664,542.36 and 162,489.40

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Solution

The fourth proportional to 442,969.72, 664,542.36 and 162,489.40 is: 243,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,969.72 : 664,542.36 = 162,489.40 : x
  2. Step 2: Convert to fraction form
    442,969.72/664,542.36 = 162,489.40/x
  3. Step 3: Cross multiply
    442,969.72x = 664,542.36 × 162,489.40
  4. Step 4: Simplify right side
    442,969.72x = 107,981,089,350.98
  5. Step 5: Solve for x
    x = 107,981,089,350.98/442,969.72
  6. Step 6: Final answer
    x = 243,766.30

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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.