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Finding the Fourth Proportional to 419,532.24, 629,286.84 and 103,982.16

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Solution

The fourth proportional to 419,532.24, 629,286.84 and 103,982.16 is: 155,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,532.24 : 629,286.84 = 103,982.16 : x
  2. Step 2: Convert to fraction form
    419,532.24/629,286.84 = 103,982.16/x
  3. Step 3: Cross multiply
    419,532.24x = 629,286.84 × 103,982.16
  4. Step 4: Simplify right side
    419,532.24x = 65,434,604,882.77
  5. Step 5: Solve for x
    x = 65,434,604,882.77/419,532.24
  6. Step 6: Final answer
    x = 155,970.38

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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.