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Finding the Fourth Proportional to 419,410.80, 629,069.13 and 115,848.14

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Solution

The fourth proportional to 419,410.80, 629,069.13 and 115,848.14 is: 173,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,410.80 : 629,069.13 = 115,848.14 : x
  2. Step 2: Convert to fraction form
    419,410.80/629,069.13 = 115,848.14/x
  3. Step 3: Cross multiply
    419,410.80x = 629,069.13 × 115,848.14
  4. Step 4: Simplify right side
    419,410.80x = 72,876,485,496.57
  5. Step 5: Solve for x
    x = 72,876,485,496.57/419,410.80
  6. Step 6: Final answer
    x = 173,759.20

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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.