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Finding the Fourth Proportional to 1,213,536, 1,820,304 and 327,072

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Solution

The fourth proportional to 1,213,536, 1,820,304 and 327,072 is: 490,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,536 : 1,820,304 = 327,072 : x
  2. Step 2: Convert to fraction form
    1,213,536/1,820,304 = 327,072/x
  3. Step 3: Cross multiply
    1,213,536x = 1,820,304 × 327,072
  4. Step 4: Simplify right side
    1,213,536x = 595,370,469,888
  5. Step 5: Solve for x
    x = 595,370,469,888/1,213,536
  6. Step 6: Final answer
    x = 490,608

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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.