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Finding the Fourth Proportional to 352,396.80, 527,515.20 and 194,140.80

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Solution

The fourth proportional to 352,396.80, 527,515.20 and 194,140.80 is: 290,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,396.80 : 527,515.20 = 194,140.80 : x
  2. Step 2: Convert to fraction form
    352,396.80/527,515.20 = 194,140.80/x
  3. Step 3: Cross multiply
    352,396.80x = 527,515.20 × 194,140.80
  4. Step 4: Simplify right side
    352,396.80x = 102,412,222,940.16
  5. Step 5: Solve for x
    x = 102,412,222,940.16/352,396.80
  6. Step 6: Final answer
    x = 290,616.21

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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.