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Finding the Fourth Proportional to 419,809.11, 629,776.23 and 135,406.16

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Solution

The fourth proportional to 419,809.11, 629,776.23 and 135,406.16 is: 203,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,809.11 : 629,776.23 = 135,406.16 : x
  2. Step 2: Convert to fraction form
    419,809.11/629,776.23 = 135,406.16/x
  3. Step 3: Cross multiply
    419,809.11x = 629,776.23 × 135,406.16
  4. Step 4: Simplify right side
    419,809.11x = 85,275,577,814.70
  5. Step 5: Solve for x
    x = 85,275,577,814.70/419,809.11
  6. Step 6: Final answer
    x = 203,129.41

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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.