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Finding the Fourth Proportional to 614,304, 921,456 and 171,072

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Solution

The fourth proportional to 614,304, 921,456 and 171,072 is: 256,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,304 : 921,456 = 171,072 : x
  2. Step 2: Convert to fraction form
    614,304/921,456 = 171,072/x
  3. Step 3: Cross multiply
    614,304x = 921,456 × 171,072
  4. Step 4: Simplify right side
    614,304x = 157,635,320,832
  5. Step 5: Solve for x
    x = 157,635,320,832/614,304
  6. Step 6: Final answer
    x = 256,608

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.