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Finding the Fourth Proportional to 809,375.20, 1,214,797.20 and 410,293.60

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Solution

The fourth proportional to 809,375.20, 1,214,797.20 and 410,293.60 is: 615,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,375.20 : 1,214,797.20 = 410,293.60 : x
  2. Step 2: Convert to fraction form
    809,375.20/1,214,797.20 = 410,293.60/x
  3. Step 3: Cross multiply
    809,375.20x = 1,214,797.20 × 410,293.60
  4. Step 4: Simplify right side
    809,375.20x = 498,423,516,457.92
  5. Step 5: Solve for x
    x = 498,423,516,457.92/809,375.20
  6. Step 6: Final answer
    x = 615,812.69

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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.