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Finding the Fourth Proportional to 491,163.70, 736,745.55 and 280,822.90

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Solution

The fourth proportional to 491,163.70, 736,745.55 and 280,822.90 is: 421,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,163.70 : 736,745.55 = 280,822.90 : x
  2. Step 2: Convert to fraction form
    491,163.70/736,745.55 = 280,822.90/x
  3. Step 3: Cross multiply
    491,163.70x = 736,745.55 × 280,822.90
  4. Step 4: Simplify right side
    491,163.70x = 206,895,021,913.10
  5. Step 5: Solve for x
    x = 206,895,021,913.10/491,163.70
  6. Step 6: Final answer
    x = 421,234.35

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Similar ratio
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1.5x scale

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.