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Finding the Fourth Proportional to 387,181.50, 580,794.12 and 137,863.50

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Solution

The fourth proportional to 387,181.50, 580,794.12 and 137,863.50 is: 206,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,181.50 : 580,794.12 = 137,863.50 : x
  2. Step 2: Convert to fraction form
    387,181.50/580,794.12 = 137,863.50/x
  3. Step 3: Cross multiply
    387,181.50x = 580,794.12 × 137,863.50
  4. Step 4: Simplify right side
    387,181.50x = 80,070,310,162.62
  5. Step 5: Solve for x
    x = 80,070,310,162.62/387,181.50
  6. Step 6: Final answer
    x = 206,803.04

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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.