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Finding the Fourth Proportional to 277,651.44, 416,648.52 and 109,142.28

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Solution

The fourth proportional to 277,651.44, 416,648.52 and 109,142.28 is: 163,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,651.44 : 416,648.52 = 109,142.28 : x
  2. Step 2: Convert to fraction form
    277,651.44/416,648.52 = 109,142.28/x
  3. Step 3: Cross multiply
    277,651.44x = 416,648.52 × 109,142.28
  4. Step 4: Simplify right side
    277,651.44x = 45,473,969,431.43
  5. Step 5: Solve for x
    x = 45,473,969,431.43/277,651.44
  6. Step 6: Final answer
    x = 163,780.78

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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.