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Finding the Fourth Proportional to 327,104.26, 490,656.40 and 87,218.98

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Solution

The fourth proportional to 327,104.26, 490,656.40 and 87,218.98 is: 130,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,104.26 : 490,656.40 = 87,218.98 : x
  2. Step 2: Convert to fraction form
    327,104.26/490,656.40 = 87,218.98/x
  3. Step 3: Cross multiply
    327,104.26x = 490,656.40 × 87,218.98
  4. Step 4: Simplify right side
    327,104.26x = 42,794,550,738.47
  5. Step 5: Solve for x
    x = 42,794,550,738.47/327,104.26
  6. Step 6: Final answer
    x = 130,828.47

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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.