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Finding the Fourth Proportional to 419,638.65, 629,644.07 and 219,911.58

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Solution

The fourth proportional to 419,638.65, 629,644.07 and 219,911.58 is: 329,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,638.65 : 629,644.07 = 219,911.58 : x
  2. Step 2: Convert to fraction form
    419,638.65/629,644.07 = 219,911.58/x
  3. Step 3: Cross multiply
    419,638.65x = 629,644.07 × 219,911.58
  4. Step 4: Simplify right side
    419,638.65x = 138,466,022,271.33
  5. Step 5: Solve for x
    x = 138,466,022,271.33/419,638.65
  6. Step 6: Final answer
    x = 329,964.89

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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.