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Finding the Fourth Proportional to 307,286.50, 424,057.20 and 171,329.02

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Solution

The fourth proportional to 307,286.50, 424,057.20 and 171,329.02 is: 236,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,286.50 : 424,057.20 = 171,329.02 : x
  2. Step 2: Convert to fraction form
    307,286.50/424,057.20 = 171,329.02/x
  3. Step 3: Cross multiply
    307,286.50x = 424,057.20 × 171,329.02
  4. Step 4: Simplify right side
    307,286.50x = 72,653,304,499.94
  5. Step 5: Solve for x
    x = 72,653,304,499.94/307,286.50
  6. Step 6: Final answer
    x = 236,435.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.