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Finding the Fourth Proportional to 419,863.43, 629,795.16 and 139,380.68

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Solution

The fourth proportional to 419,863.43, 629,795.16 and 139,380.68 is: 209,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,863.43 : 629,795.16 = 139,380.68 : x
  2. Step 2: Convert to fraction form
    419,863.43/629,795.16 = 139,380.68/x
  3. Step 3: Cross multiply
    419,863.43x = 629,795.16 × 139,380.68
  4. Step 4: Simplify right side
    419,863.43x = 87,781,277,661.51
  5. Step 5: Solve for x
    x = 87,781,277,661.51/419,863.43
  6. Step 6: Final answer
    x = 209,071.02

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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.