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Finding the Fourth Proportional to 491,301.72, 735,771.60 and 280,299.96

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Solution

The fourth proportional to 491,301.72, 735,771.60 and 280,299.96 is: 419,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,301.72 : 735,771.60 = 280,299.96 : x
  2. Step 2: Convert to fraction form
    491,301.72/735,771.60 = 280,299.96/x
  3. Step 3: Cross multiply
    491,301.72x = 735,771.60 × 280,299.96
  4. Step 4: Simplify right side
    491,301.72x = 206,236,750,049.14
  5. Step 5: Solve for x
    x = 206,236,750,049.14/491,301.72
  6. Step 6: Final answer
    x = 419,776.16

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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.