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Finding the Fourth Proportional to 307,203.24, 423,942.39 and 171,245.82

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Solution

The fourth proportional to 307,203.24, 423,942.39 and 171,245.82 is: 236,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,203.24 : 423,942.39 = 171,245.82 : x
  2. Step 2: Convert to fraction form
    307,203.24/423,942.39 = 171,245.82/x
  3. Step 3: Cross multiply
    307,203.24x = 423,942.39 × 171,245.82
  4. Step 4: Simplify right side
    307,203.24x = 72,598,362,208.31
  5. Step 5: Solve for x
    x = 72,598,362,208.31/307,203.24
  6. Step 6: Final answer
    x = 236,320.30

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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.