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Finding the Fourth Proportional to 643,469.90, 965,320.05 and 269,530.70

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Solution

The fourth proportional to 643,469.90, 965,320.05 and 269,530.70 is: 404,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,469.90 : 965,320.05 = 269,530.70 : x
  2. Step 2: Convert to fraction form
    643,469.90/965,320.05 = 269,530.70/x
  3. Step 3: Cross multiply
    643,469.90x = 965,320.05 × 269,530.70
  4. Step 4: Simplify right side
    643,469.90x = 260,183,388,800.54
  5. Step 5: Solve for x
    x = 260,183,388,800.54/643,469.90
  6. Step 6: Final answer
    x = 404,344.30

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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.