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Finding the Fourth Proportional to 419,725.17, 629,773.65 and 219,998.07

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Solution

The fourth proportional to 419,725.17, 629,773.65 and 219,998.07 is: 330,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,725.17 : 629,773.65 = 219,998.07 : x
  2. Step 2: Convert to fraction form
    419,725.17/629,773.65 = 219,998.07/x
  3. Step 3: Cross multiply
    419,725.17x = 629,773.65 × 219,998.07
  4. Step 4: Simplify right side
    419,725.17x = 138,548,987,536.86
  5. Step 5: Solve for x
    x = 138,548,987,536.86/419,725.17
  6. Step 6: Final answer
    x = 330,094.54

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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.