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Finding the Fourth Proportional to 643,711.50, 965,333.88 and 288,542.70

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Solution

The fourth proportional to 643,711.50, 965,333.88 and 288,542.70 is: 432,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,711.50 : 965,333.88 = 288,542.70 : x
  2. Step 2: Convert to fraction form
    643,711.50/965,333.88 = 288,542.70/x
  3. Step 3: Cross multiply
    643,711.50x = 965,333.88 × 288,542.70
  4. Step 4: Simplify right side
    643,711.50x = 278,540,044,136.68
  5. Step 5: Solve for x
    x = 278,540,044,136.68/643,711.50
  6. Step 6: Final answer
    x = 432,709.44

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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.