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Finding the Fourth Proportional to 494,755.20, 742,132.80 and 195,136.20

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Solution

The fourth proportional to 494,755.20, 742,132.80 and 195,136.20 is: 292,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,755.20 : 742,132.80 = 195,136.20 : x
  2. Step 2: Convert to fraction form
    494,755.20/742,132.80 = 195,136.20/x
  3. Step 3: Cross multiply
    494,755.20x = 742,132.80 × 195,136.20
  4. Step 4: Simplify right side
    494,755.20x = 144,816,974,487.36
  5. Step 5: Solve for x
    x = 144,816,974,487.36/494,755.20
  6. Step 6: Final answer
    x = 292,704.30

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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.