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Finding the Fourth Proportional to 326,489.60, 490,022.40 and 193,203.20

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Solution

The fourth proportional to 326,489.60, 490,022.40 and 193,203.20 is: 289,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,489.60 : 490,022.40 = 193,203.20 : x
  2. Step 2: Convert to fraction form
    326,489.60/490,022.40 = 193,203.20/x
  3. Step 3: Cross multiply
    326,489.60x = 490,022.40 × 193,203.20
  4. Step 4: Simplify right side
    326,489.60x = 94,673,895,751.68
  5. Step 5: Solve for x
    x = 94,673,895,751.68/326,489.60
  6. Step 6: Final answer
    x = 289,975.23

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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.