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Finding the Fourth Proportional to 233,664, 322,456.32 and 127,680

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Solution

The fourth proportional to 233,664, 322,456.32 and 127,680 is: 176,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,664 : 322,456.32 = 127,680 : x
  2. Step 2: Convert to fraction form
    233,664/322,456.32 = 127,680/x
  3. Step 3: Cross multiply
    233,664x = 322,456.32 × 127,680
  4. Step 4: Simplify right side
    233,664x = 41,171,222,937.60
  5. Step 5: Solve for x
    x = 41,171,222,937.60/233,664
  6. Step 6: Final answer
    x = 176,198.40

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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.