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Finding the Fourth Proportional to 279,921.50, 419,880.60 and 102,440.78

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Solution

The fourth proportional to 279,921.50, 419,880.60 and 102,440.78 is: 153,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,921.50 : 419,880.60 = 102,440.78 : x
  2. Step 2: Convert to fraction form
    279,921.50/419,880.60 = 102,440.78/x
  3. Step 3: Cross multiply
    279,921.50x = 419,880.60 × 102,440.78
  4. Step 4: Simplify right side
    279,921.50x = 43,012,896,170.87
  5. Step 5: Solve for x
    x = 43,012,896,170.87/279,921.50
  6. Step 6: Final answer
    x = 153,660.57

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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.