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Finding the Fourth Proportional to 419,673.63, 629,696.34 and 219,946.26

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Solution

The fourth proportional to 419,673.63, 629,696.34 and 219,946.26 is: 330,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,673.63 : 629,696.34 = 219,946.26 : x
  2. Step 2: Convert to fraction form
    419,673.63/629,696.34 = 219,946.26/x
  3. Step 3: Cross multiply
    419,673.63x = 629,696.34 × 219,946.26
  4. Step 4: Simplify right side
    419,673.63x = 138,499,354,918.69
  5. Step 5: Solve for x
    x = 138,499,354,918.69/419,673.63
  6. Step 6: Final answer
    x = 330,016.82

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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.