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Finding the Fourth Proportional to 408,136.26, 612,211.41 and 141,905.46

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Solution

The fourth proportional to 408,136.26, 612,211.41 and 141,905.46 is: 212,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,136.26 : 612,211.41 = 141,905.46 : x
  2. Step 2: Convert to fraction form
    408,136.26/612,211.41 = 141,905.46/x
  3. Step 3: Cross multiply
    408,136.26x = 612,211.41 × 141,905.46
  4. Step 4: Simplify right side
    408,136.26x = 86,876,141,753.30
  5. Step 5: Solve for x
    x = 86,876,141,753.30/408,136.26
  6. Step 6: Final answer
    x = 212,860.63

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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.