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Finding the Fourth Proportional to 509,992.43, 764,984.04 and 190,133.42

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Solution

The fourth proportional to 509,992.43, 764,984.04 and 190,133.42 is: 285,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,992.43 : 764,984.04 = 190,133.42 : x
  2. Step 2: Convert to fraction form
    509,992.43/764,984.04 = 190,133.42/x
  3. Step 3: Cross multiply
    509,992.43x = 764,984.04 × 190,133.42
  4. Step 4: Simplify right side
    509,992.43x = 145,449,027,945.70
  5. Step 5: Solve for x
    x = 145,449,027,945.70/509,992.43
  6. Step 6: Final answer
    x = 285,198.41

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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.