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Finding the Fourth Proportional to 524,644.20, 787,758.30 and 419,149.80

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Solution

The fourth proportional to 524,644.20, 787,758.30 and 419,149.80 is: 629,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,644.20 : 787,758.30 = 419,149.80 : x
  2. Step 2: Convert to fraction form
    524,644.20/787,758.30 = 419,149.80/x
  3. Step 3: Cross multiply
    524,644.20x = 787,758.30 × 419,149.80
  4. Step 4: Simplify right side
    524,644.20x = 330,188,733,893.34
  5. Step 5: Solve for x
    x = 330,188,733,893.34/524,644.20
  6. Step 6: Final answer
    x = 629,357.45

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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.