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Finding the Fourth Proportional to 491,123, 677,701.32 and 276,258.44

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Solution

The fourth proportional to 491,123, 677,701.32 and 276,258.44 is: 381,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,123 : 677,701.32 = 276,258.44 : x
  2. Step 2: Convert to fraction form
    491,123/677,701.32 = 276,258.44/x
  3. Step 3: Cross multiply
    491,123x = 677,701.32 × 276,258.44
  4. Step 4: Simplify right side
    491,123x = 187,220,709,449.14
  5. Step 5: Solve for x
    x = 187,220,709,449.14/491,123
  6. Step 6: Final answer
    x = 381,209.41

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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.