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Finding the Fourth Proportional to 338,912.80, 508,138.80 and 161,504.80

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Solution

The fourth proportional to 338,912.80, 508,138.80 and 161,504.80 is: 242,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,912.80 : 508,138.80 = 161,504.80 : x
  2. Step 2: Convert to fraction form
    338,912.80/508,138.80 = 161,504.80/x
  3. Step 3: Cross multiply
    338,912.80x = 508,138.80 × 161,504.80
  4. Step 4: Simplify right side
    338,912.80x = 82,066,855,266.24
  5. Step 5: Solve for x
    x = 82,066,855,266.24/338,912.80
  6. Step 6: Final answer
    x = 242,147.41

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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.