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Finding the Fourth Proportional to 307,491.78, 461,370.89 and 165,171.01

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Solution

The fourth proportional to 307,491.78, 461,370.89 and 165,171.01 is: 247,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,491.78 : 461,370.89 = 165,171.01 : x
  2. Step 2: Convert to fraction form
    307,491.78/461,370.89 = 165,171.01/x
  3. Step 3: Cross multiply
    307,491.78x = 461,370.89 × 165,171.01
  4. Step 4: Simplify right side
    307,491.78x = 76,205,093,906.62
  5. Step 5: Solve for x
    x = 76,205,093,906.62/307,491.78
  6. Step 6: Final answer
    x = 247,828.07

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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.