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Finding the Fourth Proportional to 419,782.92, 629,860.23 and 220,055.82

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Solution

The fourth proportional to 419,782.92, 629,860.23 and 220,055.82 is: 330,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,782.92 : 629,860.23 = 220,055.82 : x
  2. Step 2: Convert to fraction form
    419,782.92/629,860.23 = 220,055.82/x
  3. Step 3: Cross multiply
    419,782.92x = 629,860.23 × 220,055.82
  4. Step 4: Simplify right side
    419,782.92x = 138,604,409,398.04
  5. Step 5: Solve for x
    x = 138,604,409,398.04/419,782.92
  6. Step 6: Final answer
    x = 330,181.16

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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.