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Finding the Fourth Proportional to 3,780,144, 5,670,216 and 978,480

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Solution

The fourth proportional to 3,780,144, 5,670,216 and 978,480 is: 1,467,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,144 : 5,670,216 = 978,480 : x
  2. Step 2: Convert to fraction form
    3,780,144/5,670,216 = 978,480/x
  3. Step 3: Cross multiply
    3,780,144x = 5,670,216 × 978,480
  4. Step 4: Simplify right side
    3,780,144x = 5,548,192,951,680
  5. Step 5: Solve for x
    x = 5,548,192,951,680/3,780,144
  6. Step 6: Final answer
    x = 1,467,720

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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.