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Finding the Fourth Proportional to 419,819.64, 629,418.42 and 253,568.76

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Solution

The fourth proportional to 419,819.64, 629,418.42 and 253,568.76 is: 380,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,819.64 : 629,418.42 = 253,568.76 : x
  2. Step 2: Convert to fraction form
    419,819.64/629,418.42 = 253,568.76/x
  3. Step 3: Cross multiply
    419,819.64x = 629,418.42 × 253,568.76
  4. Step 4: Simplify right side
    419,819.64x = 159,600,848,280.56
  5. Step 5: Solve for x
    x = 159,600,848,280.56/419,819.64
  6. Step 6: Final answer
    x = 380,165.27

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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.