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Finding the Fourth Proportional to 277,864, 416,807.52 and 80,872

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Solution

The fourth proportional to 277,864, 416,807.52 and 80,872 is: 121,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,864 : 416,807.52 = 80,872 : x
  2. Step 2: Convert to fraction form
    277,864/416,807.52 = 80,872/x
  3. Step 3: Cross multiply
    277,864x = 416,807.52 × 80,872
  4. Step 4: Simplify right side
    277,864x = 33,708,057,757.44
  5. Step 5: Solve for x
    x = 33,708,057,757.44/277,864
  6. Step 6: Final answer
    x = 121,311.35

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