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Finding the Fourth Proportional to 442,896.30, 664,344.45 and 419,568.30

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Solution

The fourth proportional to 442,896.30, 664,344.45 and 419,568.30 is: 629,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.30 : 664,344.45 = 419,568.30 : x
  2. Step 2: Convert to fraction form
    442,896.30/664,344.45 = 419,568.30/x
  3. Step 3: Cross multiply
    442,896.30x = 664,344.45 × 419,568.30
  4. Step 4: Simplify right side
    442,896.30x = 278,737,871,500.94
  5. Step 5: Solve for x
    x = 278,737,871,500.94/442,896.30
  6. Step 6: Final answer
    x = 629,352.45

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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.