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Finding the Fourth Proportional to 491,121, 677,698.56 and 276,256.44

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Solution

The fourth proportional to 491,121, 677,698.56 and 276,256.44 is: 381,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,121 : 677,698.56 = 276,256.44 : x
  2. Step 2: Convert to fraction form
    491,121/677,698.56 = 276,256.44/x
  3. Step 3: Cross multiply
    491,121x = 677,698.56 × 276,256.44
  4. Step 4: Simplify right side
    491,121x = 187,218,591,578.73
  5. Step 5: Solve for x
    x = 187,218,591,578.73/491,121
  6. Step 6: Final answer
    x = 381,206.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.