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Finding the Fourth Proportional to 419,695.62, 629,085.27 and 206,610.18

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Solution

The fourth proportional to 419,695.62, 629,085.27 and 206,610.18 is: 309,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,695.62 : 629,085.27 = 206,610.18 : x
  2. Step 2: Convert to fraction form
    419,695.62/629,085.27 = 206,610.18/x
  3. Step 3: Cross multiply
    419,695.62x = 629,085.27 × 206,610.18
  4. Step 4: Simplify right side
    419,695.62x = 129,975,420,870.05
  5. Step 5: Solve for x
    x = 129,975,420,870.05/419,695.62
  6. Step 6: Final answer
    x = 309,689.72

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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.