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Finding the Fourth Proportional to 2,080,128, 3,120,192 and 504,192

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Solution

The fourth proportional to 2,080,128, 3,120,192 and 504,192 is: 756,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,128 : 3,120,192 = 504,192 : x
  2. Step 2: Convert to fraction form
    2,080,128/3,120,192 = 504,192/x
  3. Step 3: Cross multiply
    2,080,128x = 3,120,192 × 504,192
  4. Step 4: Simplify right side
    2,080,128x = 1,573,175,844,864
  5. Step 5: Solve for x
    x = 1,573,175,844,864/2,080,128
  6. Step 6: Final answer
    x = 756,288

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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.