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Finding the Fourth Proportional to 489,136.40, 733,704.60 and 321,174.80

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Solution

The fourth proportional to 489,136.40, 733,704.60 and 321,174.80 is: 481,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,136.40 : 733,704.60 = 321,174.80 : x
  2. Step 2: Convert to fraction form
    489,136.40/733,704.60 = 321,174.80/x
  3. Step 3: Cross multiply
    489,136.40x = 733,704.60 × 321,174.80
  4. Step 4: Simplify right side
    489,136.40x = 235,647,428,164.08
  5. Step 5: Solve for x
    x = 235,647,428,164.08/489,136.40
  6. Step 6: Final answer
    x = 481,762.20

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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.