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Finding the Fourth Proportional to 419,903.70, 629,855.55 and 404,157.30

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Solution

The fourth proportional to 419,903.70, 629,855.55 and 404,157.30 is: 606,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,903.70 : 629,855.55 = 404,157.30 : x
  2. Step 2: Convert to fraction form
    419,903.70/629,855.55 = 404,157.30/x
  3. Step 3: Cross multiply
    419,903.70x = 629,855.55 × 404,157.30
  4. Step 4: Simplify right side
    419,903.70x = 254,560,718,478.02
  5. Step 5: Solve for x
    x = 254,560,718,478.02/419,903.70
  6. Step 6: Final answer
    x = 606,235.95

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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.