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Finding the Fourth Proportional to 419,355.43, 628,508.26 and 330,257.05

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Solution

The fourth proportional to 419,355.43, 628,508.26 and 330,257.05 is: 494,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,355.43 : 628,508.26 = 330,257.05 : x
  2. Step 2: Convert to fraction form
    419,355.43/628,508.26 = 330,257.05/x
  3. Step 3: Cross multiply
    419,355.43x = 628,508.26 × 330,257.05
  4. Step 4: Simplify right side
    419,355.43x = 207,569,282,689.78
  5. Step 5: Solve for x
    x = 207,569,282,689.78/419,355.43
  6. Step 6: Final answer
    x = 494,972.21

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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.