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Finding the Fourth Proportional to 408,383.30, 611,700.15 and 329,651.30

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Solution

The fourth proportional to 408,383.30, 611,700.15 and 329,651.30 is: 493,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,383.30 : 611,700.15 = 329,651.30 : x
  2. Step 2: Convert to fraction form
    408,383.30/611,700.15 = 329,651.30/x
  3. Step 3: Cross multiply
    408,383.30x = 611,700.15 × 329,651.30
  4. Step 4: Simplify right side
    408,383.30x = 201,647,749,657.70
  5. Step 5: Solve for x
    x = 201,647,749,657.70/408,383.30
  6. Step 6: Final answer
    x = 493,770.80

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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.