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Finding the Fourth Proportional to 387,175.50, 580,785.12 and 137,857.50

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Solution

The fourth proportional to 387,175.50, 580,785.12 and 137,857.50 is: 206,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,175.50 : 580,785.12 = 137,857.50 : x
  2. Step 2: Convert to fraction form
    387,175.50/580,785.12 = 137,857.50/x
  3. Step 3: Cross multiply
    387,175.50x = 580,785.12 × 137,857.50
  4. Step 4: Simplify right side
    387,175.50x = 80,065,584,680.40
  5. Step 5: Solve for x
    x = 80,065,584,680.40/387,175.50
  6. Step 6: Final answer
    x = 206,794.04

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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.