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Finding the Fourth Proportional to 419,806.10, 629,771.73 and 135,403.16

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Solution

The fourth proportional to 419,806.10, 629,771.73 and 135,403.16 is: 203,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,806.10 : 629,771.73 = 135,403.16 : x
  2. Step 2: Convert to fraction form
    419,806.10/629,771.73 = 135,403.16/x
  3. Step 3: Cross multiply
    419,806.10x = 629,771.73 × 135,403.16
  4. Step 4: Simplify right side
    419,806.10x = 85,273,079,171.81
  5. Step 5: Solve for x
    x = 85,273,079,171.81/419,806.10
  6. Step 6: Final answer
    x = 203,124.92

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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.