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Finding the Fourth Proportional to 276,728.80, 414,971.70 and 126,919.30

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Solution

The fourth proportional to 276,728.80, 414,971.70 and 126,919.30 is: 190,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,728.80 : 414,971.70 = 126,919.30 : x
  2. Step 2: Convert to fraction form
    276,728.80/414,971.70 = 126,919.30/x
  3. Step 3: Cross multiply
    276,728.80x = 414,971.70 × 126,919.30
  4. Step 4: Simplify right side
    276,728.80x = 52,667,917,683.81
  5. Step 5: Solve for x
    x = 52,667,917,683.81/276,728.80
  6. Step 6: Final answer
    x = 190,323.23

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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.