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Finding the Fourth Proportional to 419,695.74, 629,482.29 and 206,406.41

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Solution

The fourth proportional to 419,695.74, 629,482.29 and 206,406.41 is: 309,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,695.74 : 629,482.29 = 206,406.41 : x
  2. Step 2: Convert to fraction form
    419,695.74/629,482.29 = 206,406.41/x
  3. Step 3: Cross multiply
    419,695.74x = 629,482.29 × 206,406.41
  4. Step 4: Simplify right side
    419,695.74x = 129,929,175,716.04
  5. Step 5: Solve for x
    x = 129,929,175,716.04/419,695.74
  6. Step 6: Final answer
    x = 309,579.45

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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.