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Finding the Fourth Proportional to 419,814.14, 629,410.17 and 253,563.26

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Solution

The fourth proportional to 419,814.14, 629,410.17 and 253,563.26 is: 380,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,814.14 : 629,410.17 = 253,563.26 : x
  2. Step 2: Convert to fraction form
    419,814.14/629,410.17 = 253,563.26/x
  3. Step 3: Cross multiply
    419,814.14x = 629,410.17 × 253,563.26
  4. Step 4: Simplify right side
    419,814.14x = 159,595,294,582.35
  5. Step 5: Solve for x
    x = 159,595,294,582.35/419,814.14
  6. Step 6: Final answer
    x = 380,157.03

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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.