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Finding the Fourth Proportional to 580,892.57, 870,077.05 and 280,743.68

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Solution

The fourth proportional to 580,892.57, 870,077.05 and 280,743.68 is: 420,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,892.57 : 870,077.05 = 280,743.68 : x
  2. Step 2: Convert to fraction form
    580,892.57/870,077.05 = 280,743.68/x
  3. Step 3: Cross multiply
    580,892.57x = 870,077.05 × 280,743.68
  4. Step 4: Simplify right side
    580,892.57x = 244,268,632,163.88
  5. Step 5: Solve for x
    x = 244,268,632,163.88/580,892.57
  6. Step 6: Final answer
    x = 420,505.69

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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.