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Finding the Fourth Proportional to 381,356.62, 572,007.07 and 178,998.83

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Solution

The fourth proportional to 381,356.62, 572,007.07 and 178,998.83 is: 268,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,356.62 : 572,007.07 = 178,998.83 : x
  2. Step 2: Convert to fraction form
    381,356.62/572,007.07 = 178,998.83/x
  3. Step 3: Cross multiply
    381,356.62x = 572,007.07 × 178,998.83
  4. Step 4: Simplify right side
    381,356.62x = 102,388,594,783.60
  5. Step 5: Solve for x
    x = 102,388,594,783.60/381,356.62
  6. Step 6: Final answer
    x = 268,485.16

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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.