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Finding the Fourth Proportional to 419,697.35, 629,668.61 and 135,381.59

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Solution

The fourth proportional to 419,697.35, 629,668.61 and 135,381.59 is: 203,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,697.35 : 629,668.61 = 135,381.59 : x
  2. Step 2: Convert to fraction form
    419,697.35/629,668.61 = 135,381.59/x
  3. Step 3: Cross multiply
    419,697.35x = 629,668.61 × 135,381.59
  4. Step 4: Simplify right side
    419,697.35x = 85,245,537,594.89
  5. Step 5: Solve for x
    x = 85,245,537,594.89/419,697.35
  6. Step 6: Final answer
    x = 203,111.93

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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.