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Finding the Fourth Proportional to 326,980.54, 490,660.08 and 137,425.96

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Solution

The fourth proportional to 326,980.54, 490,660.08 and 137,425.96 is: 206,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,980.54 : 490,660.08 = 137,425.96 : x
  2. Step 2: Convert to fraction form
    326,980.54/490,660.08 = 137,425.96/x
  3. Step 3: Cross multiply
    326,980.54x = 490,660.08 × 137,425.96
  4. Step 4: Simplify right side
    326,980.54x = 67,429,432,527.68
  5. Step 5: Solve for x
    x = 67,429,432,527.68/326,980.54
  6. Step 6: Final answer
    x = 206,218.49

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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.