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Finding the Fourth Proportional to 327,473.60, 490,335.36 and 208,500.80

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Solution

The fourth proportional to 327,473.60, 490,335.36 and 208,500.80 is: 312,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,473.60 : 490,335.36 = 208,500.80 : x
  2. Step 2: Convert to fraction form
    327,473.60/490,335.36 = 208,500.80/x
  3. Step 3: Cross multiply
    327,473.60x = 490,335.36 × 208,500.80
  4. Step 4: Simplify right side
    327,473.60x = 102,235,314,828.29
  5. Step 5: Solve for x
    x = 102,235,314,828.29/327,473.60
  6. Step 6: Final answer
    x = 312,194.07

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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.