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Finding the Fourth Proportional to 465,772.20, 699,503.10 and 407,711.40

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Solution

The fourth proportional to 465,772.20, 699,503.10 and 407,711.40 is: 612,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,772.20 : 699,503.10 = 407,711.40 : x
  2. Step 2: Convert to fraction form
    465,772.20/699,503.10 = 407,711.40/x
  3. Step 3: Cross multiply
    465,772.20x = 699,503.10 × 407,711.40
  4. Step 4: Simplify right side
    465,772.20x = 285,195,388,205.34
  5. Step 5: Solve for x
    x = 285,195,388,205.34/465,772.20
  6. Step 6: Final answer
    x = 612,306.59

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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.