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Finding the Fourth Proportional to 419,611.92, 629,413.02 and 251,179.32

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Solution

The fourth proportional to 419,611.92, 629,413.02 and 251,179.32 is: 376,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,611.92 : 629,413.02 = 251,179.32 : x
  2. Step 2: Convert to fraction form
    419,611.92/629,413.02 = 251,179.32/x
  3. Step 3: Cross multiply
    419,611.92x = 629,413.02 × 251,179.32
  4. Step 4: Simplify right side
    419,611.92x = 158,095,534,362.75
  5. Step 5: Solve for x
    x = 158,095,534,362.75/419,611.92
  6. Step 6: Final answer
    x = 376,766.07

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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.