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Finding the Fourth Proportional to 280,010.56, 419,976.51 and 80,347.96

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Solution

The fourth proportional to 280,010.56, 419,976.51 and 80,347.96 is: 120,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,010.56 : 419,976.51 = 80,347.96 : x
  2. Step 2: Convert to fraction form
    280,010.56/419,976.51 = 80,347.96/x
  3. Step 3: Cross multiply
    280,010.56x = 419,976.51 × 80,347.96
  4. Step 4: Simplify right side
    280,010.56x = 33,744,255,826.42
  5. Step 5: Solve for x
    x = 33,744,255,826.42/280,010.56
  6. Step 6: Final answer
    x = 120,510.65

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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.