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Finding the Fourth Proportional to 232,384, 320,689.92 and 126,400

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Solution

The fourth proportional to 232,384, 320,689.92 and 126,400 is: 174,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,384 : 320,689.92 = 126,400 : x
  2. Step 2: Convert to fraction form
    232,384/320,689.92 = 126,400/x
  3. Step 3: Cross multiply
    232,384x = 320,689.92 × 126,400
  4. Step 4: Simplify right side
    232,384x = 40,535,205,888
  5. Step 5: Solve for x
    x = 40,535,205,888/232,384
  6. Step 6: Final answer
    x = 174,432

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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.