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Finding the Fourth Proportional to 404,815.30, 606,704.55 and 310,855.30

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Solution

The fourth proportional to 404,815.30, 606,704.55 and 310,855.30 is: 465,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,815.30 : 606,704.55 = 310,855.30 : x
  2. Step 2: Convert to fraction form
    404,815.30/606,704.55 = 310,855.30/x
  3. Step 3: Cross multiply
    404,815.30x = 606,704.55 × 310,855.30
  4. Step 4: Simplify right side
    404,815.30x = 188,597,324,901.62
  5. Step 5: Solve for x
    x = 188,597,324,901.62/404,815.30
  6. Step 6: Final answer
    x = 465,884.87

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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.