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Finding the Fourth Proportional to 419,362.07, 629,228.29 and 325,408.55

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Solution

The fourth proportional to 419,362.07, 629,228.29 and 325,408.55 is: 488,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,362.07 : 629,228.29 = 325,408.55 : x
  2. Step 2: Convert to fraction form
    419,362.07/629,228.29 = 325,408.55/x
  3. Step 3: Cross multiply
    419,362.07x = 629,228.29 × 325,408.55
  4. Step 4: Simplify right side
    419,362.07x = 204,756,261,508.22
  5. Step 5: Solve for x
    x = 204,756,261,508.22/419,362.07
  6. Step 6: Final answer
    x = 488,256.52

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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.