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Finding the Fourth Proportional to 327,214.40, 490,821.60 and 221,460.80

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Solution

The fourth proportional to 327,214.40, 490,821.60 and 221,460.80 is: 332,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,214.40 : 490,821.60 = 221,460.80 : x
  2. Step 2: Convert to fraction form
    327,214.40/490,821.60 = 221,460.80/x
  3. Step 3: Cross multiply
    327,214.40x = 490,821.60 × 221,460.80
  4. Step 4: Simplify right side
    327,214.40x = 108,697,744,193.28
  5. Step 5: Solve for x
    x = 108,697,744,193.28/327,214.40
  6. Step 6: Final answer
    x = 332,191.20

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1.5x scale

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.