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Finding the Fourth Proportional to 494,728.20, 742,213.80 and 139,737.60

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Solution

The fourth proportional to 494,728.20, 742,213.80 and 139,737.60 is: 209,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,728.20 : 742,213.80 = 139,737.60 : x
  2. Step 2: Convert to fraction form
    494,728.20/742,213.80 = 139,737.60/x
  3. Step 3: Cross multiply
    494,728.20x = 742,213.80 × 139,737.60
  4. Step 4: Simplify right side
    494,728.20x = 103,715,175,098.88
  5. Step 5: Solve for x
    x = 103,715,175,098.88/494,728.20
  6. Step 6: Final answer
    x = 209,640.72

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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.