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Finding the Fourth Proportional to 279,728.64, 419,696.64 and 130,049.28

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Solution

The fourth proportional to 279,728.64, 419,696.64 and 130,049.28 is: 195,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,728.64 : 419,696.64 = 130,049.28 : x
  2. Step 2: Convert to fraction form
    279,728.64/419,696.64 = 130,049.28/x
  3. Step 3: Cross multiply
    279,728.64x = 419,696.64 × 130,049.28
  4. Step 4: Simplify right side
    279,728.64x = 54,581,245,850.42
  5. Step 5: Solve for x
    x = 54,581,245,850.42/279,728.64
  6. Step 6: Final answer
    x = 195,122.12

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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.