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Finding the Fourth Proportional to 270,384, 405,576 and 73,392

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Solution

The fourth proportional to 270,384, 405,576 and 73,392 is: 110,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,384 : 405,576 = 73,392 : x
  2. Step 2: Convert to fraction form
    270,384/405,576 = 73,392/x
  3. Step 3: Cross multiply
    270,384x = 405,576 × 73,392
  4. Step 4: Simplify right side
    270,384x = 29,766,033,792
  5. Step 5: Solve for x
    x = 29,766,033,792/270,384
  6. Step 6: Final answer
    x = 110,088

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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.