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Finding the Fourth Proportional to 419,362.32, 629,228.66 and 325,408.80

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Solution

The fourth proportional to 419,362.32, 629,228.66 and 325,408.80 is: 488,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,362.32 : 629,228.66 = 325,408.80 : x
  2. Step 2: Convert to fraction form
    419,362.32/629,228.66 = 325,408.80/x
  3. Step 3: Cross multiply
    419,362.32x = 629,228.66 × 325,408.80
  4. Step 4: Simplify right side
    419,362.32x = 204,756,543,176.21
  5. Step 5: Solve for x
    x = 204,756,543,176.21/419,362.32
  6. Step 6: Final answer
    x = 488,256.89

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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.