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Finding the Fourth Proportional to 465,136.20, 697,704.30 and 287,843.40

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Solution

The fourth proportional to 465,136.20, 697,704.30 and 287,843.40 is: 431,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,136.20 : 697,704.30 = 287,843.40 : x
  2. Step 2: Convert to fraction form
    465,136.20/697,704.30 = 287,843.40/x
  3. Step 3: Cross multiply
    465,136.20x = 697,704.30 × 287,843.40
  4. Step 4: Simplify right side
    465,136.20x = 200,829,577,906.62
  5. Step 5: Solve for x
    x = 200,829,577,906.62/465,136.20
  6. Step 6: Final answer
    x = 431,765.10

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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.