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Finding the Fourth Proportional to 419,456.88, 629,097.23 and 135,173.00

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Solution

The fourth proportional to 419,456.88, 629,097.23 and 135,173.00 is: 202,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,456.88 : 629,097.23 = 135,173.00 : x
  2. Step 2: Convert to fraction form
    419,456.88/629,097.23 = 135,173.00/x
  3. Step 3: Cross multiply
    419,456.88x = 629,097.23 × 135,173.00
  4. Step 4: Simplify right side
    419,456.88x = 85,036,961,781.47
  5. Step 5: Solve for x
    x = 85,036,961,781.47/419,456.88
  6. Step 6: Final answer
    x = 202,731.12

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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.