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Finding the Fourth Proportional to 491,221.08, 677,830.14 and 276,435

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Solution

The fourth proportional to 491,221.08, 677,830.14 and 276,435 is: 381,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,221.08 : 677,830.14 = 276,435 : x
  2. Step 2: Convert to fraction form
    491,221.08/677,830.14 = 276,435/x
  3. Step 3: Cross multiply
    491,221.08x = 677,830.14 × 276,435
  4. Step 4: Simplify right side
    491,221.08x = 187,375,974,750.90
  5. Step 5: Solve for x
    x = 187,375,974,750.90/491,221.08
  6. Step 6: Final answer
    x = 381,449.38

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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.