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Finding the Fourth Proportional to 326,022.80, 489,034.20 and 219,734.60

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Solution

The fourth proportional to 326,022.80, 489,034.20 and 219,734.60 is: 329,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,022.80 : 489,034.20 = 219,734.60 : x
  2. Step 2: Convert to fraction form
    326,022.80/489,034.20 = 219,734.60/x
  3. Step 3: Cross multiply
    326,022.80x = 489,034.20 × 219,734.60
  4. Step 4: Simplify right side
    326,022.80x = 107,457,734,323.32
  5. Step 5: Solve for x
    x = 107,457,734,323.32/326,022.80
  6. Step 6: Final answer
    x = 329,601.90

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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.