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Finding the Fourth Proportional to 509,358.43, 764,190.42 and 205,596.28

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Solution

The fourth proportional to 509,358.43, 764,190.42 and 205,596.28 is: 308,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,358.43 : 764,190.42 = 205,596.28 : x
  2. Step 2: Convert to fraction form
    509,358.43/764,190.42 = 205,596.28/x
  3. Step 3: Cross multiply
    509,358.43x = 764,190.42 × 205,596.28
  4. Step 4: Simplify right side
    509,358.43x = 157,114,707,563.64
  5. Step 5: Solve for x
    x = 157,114,707,563.64/509,358.43
  6. Step 6: Final answer
    x = 308,456.09

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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.