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Finding the Fourth Proportional to 494,099.80, 741,495.30 and 213,818.20

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Solution

The fourth proportional to 494,099.80, 741,495.30 and 213,818.20 is: 320,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,099.80 : 741,495.30 = 213,818.20 : x
  2. Step 2: Convert to fraction form
    494,099.80/741,495.30 = 213,818.20/x
  3. Step 3: Cross multiply
    494,099.80x = 741,495.30 × 213,818.20
  4. Step 4: Simplify right side
    494,099.80x = 158,545,190,354.46
  5. Step 5: Solve for x
    x = 158,545,190,354.46/494,099.80
  6. Step 6: Final answer
    x = 320,876.86

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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.