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Finding the Fourth Proportional to 412,809.62, 618,408.60 and 284,423

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Solution

The fourth proportional to 412,809.62, 618,408.60 and 284,423 is: 426,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,809.62 : 618,408.60 = 284,423 : x
  2. Step 2: Convert to fraction form
    412,809.62/618,408.60 = 284,423/x
  3. Step 3: Cross multiply
    412,809.62x = 618,408.60 × 284,423
  4. Step 4: Simplify right side
    412,809.62x = 175,889,629,237.80
  5. Step 5: Solve for x
    x = 175,889,629,237.80/412,809.62
  6. Step 6: Final answer
    x = 426,079.29

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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.