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Finding the Fourth Proportional to 276,322.48, 414,382.20 and 98,781.28

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Solution

The fourth proportional to 276,322.48, 414,382.20 and 98,781.28 is: 148,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,322.48 : 414,382.20 = 98,781.28 : x
  2. Step 2: Convert to fraction form
    276,322.48/414,382.20 = 98,781.28/x
  3. Step 3: Cross multiply
    276,322.48x = 414,382.20 × 98,781.28
  4. Step 4: Simplify right side
    276,322.48x = 40,933,204,125.22
  5. Step 5: Solve for x
    x = 40,933,204,125.22/276,322.48
  6. Step 6: Final answer
    x = 148,135.63

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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.