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Finding the Fourth Proportional to 419,634.90, 629,638.38 and 219,907.80

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Solution

The fourth proportional to 419,634.90, 629,638.38 and 219,907.80 is: 329,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,634.90 : 629,638.38 = 219,907.80 : x
  2. Step 2: Convert to fraction form
    419,634.90/629,638.38 = 219,907.80/x
  3. Step 3: Cross multiply
    419,634.90x = 629,638.38 × 219,907.80
  4. Step 4: Simplify right side
    419,634.90x = 138,462,390,941.36
  5. Step 5: Solve for x
    x = 138,462,390,941.36/419,634.90
  6. Step 6: Final answer
    x = 329,959.19

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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.