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Finding the Fourth Proportional to 419,884.40, 629,826.60 and 383,142.80

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Solution

The fourth proportional to 419,884.40, 629,826.60 and 383,142.80 is: 574,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,884.40 : 629,826.60 = 383,142.80 : x
  2. Step 2: Convert to fraction form
    419,884.40/629,826.60 = 383,142.80/x
  3. Step 3: Cross multiply
    419,884.40x = 629,826.60 × 383,142.80
  4. Step 4: Simplify right side
    419,884.40x = 241,313,527,038.48
  5. Step 5: Solve for x
    x = 241,313,527,038.48/419,884.40
  6. Step 6: Final answer
    x = 574,714.20

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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.