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Finding the Fourth Proportional to 327,141.75, 490,712.64 and 87,256.41

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Solution

The fourth proportional to 327,141.75, 490,712.64 and 87,256.41 is: 130,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,141.75 : 490,712.64 = 87,256.41 : x
  2. Step 2: Convert to fraction form
    327,141.75/490,712.64 = 87,256.41/x
  3. Step 3: Cross multiply
    327,141.75x = 490,712.64 × 87,256.41
  4. Step 4: Simplify right side
    327,141.75x = 42,817,823,308.02
  5. Step 5: Solve for x
    x = 42,817,823,308.02/327,141.75
  6. Step 6: Final answer
    x = 130,884.62

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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.