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Finding the Fourth Proportional to 419,987.67, 629,806.34 and 131,725.04

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Solution

The fourth proportional to 419,987.67, 629,806.34 and 131,725.04 is: 197,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,987.67 : 629,806.34 = 131,725.04 : x
  2. Step 2: Convert to fraction form
    419,987.67/629,806.34 = 131,725.04/x
  3. Step 3: Cross multiply
    419,987.67x = 629,806.34 × 131,725.04
  4. Step 4: Simplify right side
    419,987.67x = 82,961,265,328.75
  5. Step 5: Solve for x
    x = 82,961,265,328.75/419,987.67
  6. Step 6: Final answer
    x = 197,532.62

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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.