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Finding the Fourth Proportional to 442,871.20, 664,371.60 and 143,300.80

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Solution

The fourth proportional to 442,871.20, 664,371.60 and 143,300.80 is: 214,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,871.20 : 664,371.60 = 143,300.80 : x
  2. Step 2: Convert to fraction form
    442,871.20/664,371.60 = 143,300.80/x
  3. Step 3: Cross multiply
    442,871.20x = 664,371.60 × 143,300.80
  4. Step 4: Simplify right side
    442,871.20x = 95,204,981,777.28
  5. Step 5: Solve for x
    x = 95,204,981,777.28/442,871.20
  6. Step 6: Final answer
    x = 214,972.17

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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.