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Finding the Fourth Proportional to 419,673.78, 629,449.18 and 206,384.36

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Solution

The fourth proportional to 419,673.78, 629,449.18 and 206,384.36 is: 309,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,673.78 : 629,449.18 = 206,384.36 : x
  2. Step 2: Convert to fraction form
    419,673.78/629,449.18 = 206,384.36/x
  3. Step 3: Cross multiply
    419,673.78x = 629,449.18 × 206,384.36
  4. Step 4: Simplify right side
    419,673.78x = 129,908,467,792.88
  5. Step 5: Solve for x
    x = 129,908,467,792.88/419,673.78
  6. Step 6: Final answer
    x = 309,546.31

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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.