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Finding the Fourth Proportional to 307,382.24, 424,189.92 and 171,425

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Solution

The fourth proportional to 307,382.24, 424,189.92 and 171,425 is: 236,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,382.24 : 424,189.92 = 171,425 : x
  2. Step 2: Convert to fraction form
    307,382.24/424,189.92 = 171,425/x
  3. Step 3: Cross multiply
    307,382.24x = 424,189.92 × 171,425
  4. Step 4: Simplify right side
    307,382.24x = 72,716,757,036
  5. Step 5: Solve for x
    x = 72,716,757,036/307,382.24
  6. Step 6: Final answer
    x = 236,567.85

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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.