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Finding the Fourth Proportional to 287,144.76, 430,778.68 and 87,481.24

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Solution

The fourth proportional to 287,144.76, 430,778.68 and 87,481.24 is: 131,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,144.76 : 430,778.68 = 87,481.24 : x
  2. Step 2: Convert to fraction form
    287,144.76/430,778.68 = 87,481.24/x
  3. Step 3: Cross multiply
    287,144.76x = 430,778.68 × 87,481.24
  4. Step 4: Simplify right side
    287,144.76x = 37,685,053,091.96
  5. Step 5: Solve for x
    x = 37,685,053,091.96/287,144.76
  6. Step 6: Final answer
    x = 131,240.61

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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.