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Finding the Fourth Proportional to 327,099.75, 490,649.63 and 87,214.47

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Solution

The fourth proportional to 327,099.75, 490,649.63 and 87,214.47 is: 130,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,099.75 : 490,649.63 = 87,214.47 : x
  2. Step 2: Convert to fraction form
    327,099.75/490,649.63 = 87,214.47/x
  3. Step 3: Cross multiply
    327,099.75x = 490,649.63 × 87,214.47
  4. Step 4: Simplify right side
    327,099.75x = 42,791,747,000.07
  5. Step 5: Solve for x
    x = 42,791,747,000.07/327,099.75
  6. Step 6: Final answer
    x = 130,821.71

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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.