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Finding the Fourth Proportional to 419,648.10, 629,658.21 and 219,921

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Solution

The fourth proportional to 419,648.10, 629,658.21 and 219,921 is: 329,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,648.10 : 629,658.21 = 219,921 : x
  2. Step 2: Convert to fraction form
    419,648.10/629,658.21 = 219,921/x
  3. Step 3: Cross multiply
    419,648.10x = 629,658.21 × 219,921
  4. Step 4: Simplify right side
    419,648.10x = 138,475,063,201.41
  5. Step 5: Solve for x
    x = 138,475,063,201.41/419,648.10
  6. Step 6: Final answer
    x = 329,979.01

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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.