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Finding the Fourth Proportional to 419,718.61, 629,763.81 and 219,991.51

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Solution

The fourth proportional to 419,718.61, 629,763.81 and 219,991.51 is: 330,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,718.61 : 629,763.81 = 219,991.51 : x
  2. Step 2: Convert to fraction form
    419,718.61/629,763.81 = 219,991.51/x
  3. Step 3: Cross multiply
    419,718.61x = 629,763.81 × 219,991.51
  4. Step 4: Simplify right side
    419,718.61x = 138,542,691,505.25
  5. Step 5: Solve for x
    x = 138,542,691,505.25/419,718.61
  6. Step 6: Final answer
    x = 330,084.70

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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.