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Finding the Fourth Proportional to 326,976.46, 490,558.50 and 137,339.30

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Solution

The fourth proportional to 326,976.46, 490,558.50 and 137,339.30 is: 206,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,976.46 : 490,558.50 = 137,339.30 : x
  2. Step 2: Convert to fraction form
    326,976.46/490,558.50 = 137,339.30/x
  3. Step 3: Cross multiply
    326,976.46x = 490,558.50 × 137,339.30
  4. Step 4: Simplify right side
    326,976.46x = 67,372,960,999.05
  5. Step 5: Solve for x
    x = 67,372,960,999.05/326,976.46
  6. Step 6: Final answer
    x = 206,048.35

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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.