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Finding the Fourth Proportional to 326,819.20, 490,689.60 and 202,403.20

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Solution

The fourth proportional to 326,819.20, 490,689.60 and 202,403.20 is: 303,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,819.20 : 490,689.60 = 202,403.20 : x
  2. Step 2: Convert to fraction form
    326,819.20/490,689.60 = 202,403.20/x
  3. Step 3: Cross multiply
    326,819.20x = 490,689.60 × 202,403.20
  4. Step 4: Simplify right side
    326,819.20x = 99,317,145,246.72
  5. Step 5: Solve for x
    x = 99,317,145,246.72/326,819.20
  6. Step 6: Final answer
    x = 303,890.18

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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.