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Finding the Fourth Proportional to 232,385, 320,691.30 and 126,401

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Solution

The fourth proportional to 232,385, 320,691.30 and 126,401 is: 174,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,385 : 320,691.30 = 126,401 : x
  2. Step 2: Convert to fraction form
    232,385/320,691.30 = 126,401/x
  3. Step 3: Cross multiply
    232,385x = 320,691.30 × 126,401
  4. Step 4: Simplify right side
    232,385x = 40,535,701,011.30
  5. Step 5: Solve for x
    x = 40,535,701,011.30/232,385
  6. Step 6: Final answer
    x = 174,433.38

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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.