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Finding the Fourth Proportional to 279,981.14, 419,705.64 and 178,494.32

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Solution

The fourth proportional to 279,981.14, 419,705.64 and 178,494.32 is: 267,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,981.14 : 419,705.64 = 178,494.32 : x
  2. Step 2: Convert to fraction form
    279,981.14/419,705.64 = 178,494.32/x
  3. Step 3: Cross multiply
    279,981.14x = 419,705.64 × 178,494.32
  4. Step 4: Simplify right side
    279,981.14x = 74,915,072,811.96
  5. Step 5: Solve for x
    x = 74,915,072,811.96/279,981.14
  6. Step 6: Final answer
    x = 267,571.85

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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.