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Finding the Fourth Proportional to 484,469.40, 727,136.10 and 284,539.80

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Solution

The fourth proportional to 484,469.40, 727,136.10 and 284,539.80 is: 427,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,469.40 : 727,136.10 = 284,539.80 : x
  2. Step 2: Convert to fraction form
    484,469.40/727,136.10 = 284,539.80/x
  3. Step 3: Cross multiply
    484,469.40x = 727,136.10 × 284,539.80
  4. Step 4: Simplify right side
    484,469.40x = 206,899,160,466.78
  5. Step 5: Solve for x
    x = 206,899,160,466.78/484,469.40
  6. Step 6: Final answer
    x = 427,063.42

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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.