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Finding the Fourth Proportional to 800,323.32, 1,200,041.81 and 327,340.83

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Solution

The fourth proportional to 800,323.32, 1,200,041.81 and 327,340.83 is: 490,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,323.32 : 1,200,041.81 = 327,340.83 : x
  2. Step 2: Convert to fraction form
    800,323.32/1,200,041.81 = 327,340.83/x
  3. Step 3: Cross multiply
    800,323.32x = 1,200,041.81 × 327,340.83
  4. Step 4: Simplify right side
    800,323.32x = 392,822,682,120.10
  5. Step 5: Solve for x
    x = 392,822,682,120.10/800,323.32
  6. Step 6: Final answer
    x = 490,829.98

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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.