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Finding the Fourth Proportional to 419,647.58, 629,657.44 and 219,920.48

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Solution

The fourth proportional to 419,647.58, 629,657.44 and 219,920.48 is: 329,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,647.58 : 629,657.44 = 219,920.48 : x
  2. Step 2: Convert to fraction form
    419,647.58/629,657.44 = 219,920.48/x
  3. Step 3: Cross multiply
    419,647.58x = 629,657.44 × 219,920.48
  4. Step 4: Simplify right side
    419,647.58x = 138,474,566,440.37
  5. Step 5: Solve for x
    x = 138,474,566,440.37/419,647.58
  6. Step 6: Final answer
    x = 329,978.23

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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.