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Finding the Fourth Proportional to 419,721.62, 629,768.32 and 219,994.52

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Solution

The fourth proportional to 419,721.62, 629,768.32 and 219,994.52 is: 330,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,721.62 : 629,768.32 = 219,994.52 : x
  2. Step 2: Convert to fraction form
    419,721.62/629,768.32 = 219,994.52/x
  3. Step 3: Cross multiply
    419,721.62x = 629,768.32 × 219,994.52
  4. Step 4: Simplify right side
    419,721.62x = 138,545,579,269.61
  5. Step 5: Solve for x
    x = 138,545,579,269.61/419,721.62
  6. Step 6: Final answer
    x = 330,089.21

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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.