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Finding the Fourth Proportional to 800,409.30, 1,200,170.88 and 327,426.90

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Solution

The fourth proportional to 800,409.30, 1,200,170.88 and 327,426.90 is: 490,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,409.30 : 1,200,170.88 = 327,426.90 : x
  2. Step 2: Convert to fraction form
    800,409.30/1,200,170.88 = 327,426.90/x
  3. Step 3: Cross multiply
    800,409.30x = 1,200,170.88 × 327,426.90
  4. Step 4: Simplify right side
    800,409.30x = 392,968,230,708.67
  5. Step 5: Solve for x
    x = 392,968,230,708.67/800,409.30
  6. Step 6: Final answer
    x = 490,959.10

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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.