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Finding the Fourth Proportional to 643,711.80, 965,913.30 and 269,772.60

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Solution

The fourth proportional to 643,711.80, 965,913.30 and 269,772.60 is: 404,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,711.80 : 965,913.30 = 269,772.60 : x
  2. Step 2: Convert to fraction form
    643,711.80/965,913.30 = 269,772.60/x
  3. Step 3: Cross multiply
    643,711.80x = 965,913.30 × 269,772.60
  4. Step 4: Simplify right side
    643,711.80x = 260,576,942,315.58
  5. Step 5: Solve for x
    x = 260,576,942,315.58/643,711.80
  6. Step 6: Final answer
    x = 404,803.74

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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.