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Finding the Fourth Proportional to 419,863.08, 629,658.18 and 139,305

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Solution

The fourth proportional to 419,863.08, 629,658.18 and 139,305 is: 208,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,863.08 : 629,658.18 = 139,305 : x
  2. Step 2: Convert to fraction form
    419,863.08/629,658.18 = 139,305/x
  3. Step 3: Cross multiply
    419,863.08x = 629,658.18 × 139,305
  4. Step 4: Simplify right side
    419,863.08x = 87,714,532,764.90
  5. Step 5: Solve for x
    x = 87,714,532,764.90/419,863.08
  6. Step 6: Final answer
    x = 208,912.23

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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.