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Finding the Fourth Proportional to 386,783.66, 580,033.74 and 133,998.86

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Solution

The fourth proportional to 386,783.66, 580,033.74 and 133,998.86 is: 200,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,783.66 : 580,033.74 = 133,998.86 : x
  2. Step 2: Convert to fraction form
    386,783.66/580,033.74 = 133,998.86/x
  3. Step 3: Cross multiply
    386,783.66x = 580,033.74 × 133,998.86
  4. Step 4: Simplify right side
    386,783.66x = 77,723,859,921.54
  5. Step 5: Solve for x
    x = 77,723,859,921.54/386,783.66
  6. Step 6: Final answer
    x = 200,949.18

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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.