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Finding the Fourth Proportional to 307,967.28, 461,912.52 and 86,368.56

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Solution

The fourth proportional to 307,967.28, 461,912.52 and 86,368.56 is: 129,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,967.28 : 461,912.52 = 86,368.56 : x
  2. Step 2: Convert to fraction form
    307,967.28/461,912.52 = 86,368.56/x
  3. Step 3: Cross multiply
    307,967.28x = 461,912.52 × 86,368.56
  4. Step 4: Simplify right side
    307,967.28x = 39,894,719,198.37
  5. Step 5: Solve for x
    x = 39,894,719,198.37/307,967.28
  6. Step 6: Final answer
    x = 129,542.07

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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.