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Finding the Fourth Proportional to 419,735.80, 629,603.70 and 331,262.20

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Solution

The fourth proportional to 419,735.80, 629,603.70 and 331,262.20 is: 496,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,735.80 : 629,603.70 = 331,262.20 : x
  2. Step 2: Convert to fraction form
    419,735.80/629,603.70 = 331,262.20/x
  3. Step 3: Cross multiply
    419,735.80x = 629,603.70 × 331,262.20
  4. Step 4: Simplify right side
    419,735.80x = 208,563,906,790.14
  5. Step 5: Solve for x
    x = 208,563,906,790.14/419,735.80
  6. Step 6: Final answer
    x = 496,893.30

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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.