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Finding the Fourth Proportional to 491,663.70, 736,977.15 and 280,847.70

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Solution

The fourth proportional to 491,663.70, 736,977.15 and 280,847.70 is: 420,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,663.70 : 736,977.15 = 280,847.70 : x
  2. Step 2: Convert to fraction form
    491,663.70/736,977.15 = 280,847.70/x
  3. Step 3: Cross multiply
    491,663.70x = 736,977.15 × 280,847.70
  4. Step 4: Simplify right side
    491,663.70x = 206,978,337,530.06
  5. Step 5: Solve for x
    x = 206,978,337,530.06/491,663.70
  6. Step 6: Final answer
    x = 420,975.43

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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.