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Finding the Fourth Proportional to 509,694.82, 764,538.79 and 172,972.53

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Solution

The fourth proportional to 509,694.82, 764,538.79 and 172,972.53 is: 259,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,694.82 : 764,538.79 = 172,972.53 : x
  2. Step 2: Convert to fraction form
    509,694.82/764,538.79 = 172,972.53/x
  3. Step 3: Cross multiply
    509,694.82x = 764,538.79 × 172,972.53
  4. Step 4: Simplify right side
    509,694.82x = 132,244,205,212.69
  5. Step 5: Solve for x
    x = 132,244,205,212.69/509,694.82
  6. Step 6: Final answer
    x = 259,457.62

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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.