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Finding the Fourth Proportional to 580,900.72, 870,089.24 and 280,751.82

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Solution

The fourth proportional to 580,900.72, 870,089.24 and 280,751.82 is: 420,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,900.72 : 870,089.24 = 280,751.82 : x
  2. Step 2: Convert to fraction form
    580,900.72/870,089.24 = 280,751.82/x
  3. Step 3: Cross multiply
    580,900.72x = 870,089.24 × 280,751.82
  4. Step 4: Simplify right side
    580,900.72x = 244,279,131,938.21
  5. Step 5: Solve for x
    x = 244,279,131,938.21/580,900.72
  6. Step 6: Final answer
    x = 420,517.87

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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.