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Finding the Fourth Proportional to 664,644.80, 996,319.20 and 380,043.20

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Solution

The fourth proportional to 664,644.80, 996,319.20 and 380,043.20 is: 569,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,644.80 : 996,319.20 = 380,043.20 : x
  2. Step 2: Convert to fraction form
    664,644.80/996,319.20 = 380,043.20/x
  3. Step 3: Cross multiply
    664,644.80x = 996,319.20 × 380,043.20
  4. Step 4: Simplify right side
    664,644.80x = 378,644,336,989.44
  5. Step 5: Solve for x
    x = 378,644,336,989.44/664,644.80
  6. Step 6: Final answer
    x = 569,694.27

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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.