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Finding the Fourth Proportional to 491,316.22, 735,793.32 and 280,314.46

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Solution

The fourth proportional to 491,316.22, 735,793.32 and 280,314.46 is: 419,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,316.22 : 735,793.32 = 280,314.46 : x
  2. Step 2: Convert to fraction form
    491,316.22/735,793.32 = 280,314.46/x
  3. Step 3: Cross multiply
    491,316.22x = 735,793.32 × 280,314.46
  4. Step 4: Simplify right side
    491,316.22x = 206,253,507,167.41
  5. Step 5: Solve for x
    x = 206,253,507,167.41/491,316.22
  6. Step 6: Final answer
    x = 419,797.88

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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.