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Finding the Fourth Proportional to 307,151.64, 423,903.69 and 171,198

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Solution

The fourth proportional to 307,151.64, 423,903.69 and 171,198 is: 236,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,151.64 : 423,903.69 = 171,198 : x
  2. Step 2: Convert to fraction form
    307,151.64/423,903.69 = 171,198/x
  3. Step 3: Cross multiply
    307,151.64x = 423,903.69 × 171,198
  4. Step 4: Simplify right side
    307,151.64x = 72,571,463,920.62
  5. Step 5: Solve for x
    x = 72,571,463,920.62/307,151.64
  6. Step 6: Final answer
    x = 236,272.43

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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.