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Finding the Fourth Proportional to 524,663.20, 787,786.80 and 419,168.80

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Solution

The fourth proportional to 524,663.20, 787,786.80 and 419,168.80 is: 629,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,663.20 : 787,786.80 = 419,168.80 : x
  2. Step 2: Convert to fraction form
    524,663.20/787,786.80 = 419,168.80/x
  3. Step 3: Cross multiply
    524,663.20x = 787,786.80 × 419,168.80
  4. Step 4: Simplify right side
    524,663.20x = 330,215,647,611.84
  5. Step 5: Solve for x
    x = 330,215,647,611.84/524,663.20
  6. Step 6: Final answer
    x = 629,385.95

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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.