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Finding the Fourth Proportional to 276,476.90, 414,744.78 and 76,797.68

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Solution

The fourth proportional to 276,476.90, 414,744.78 and 76,797.68 is: 115,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,476.90 : 414,744.78 = 76,797.68 : x
  2. Step 2: Convert to fraction form
    276,476.90/414,744.78 = 76,797.68/x
  3. Step 3: Cross multiply
    276,476.90x = 414,744.78 × 76,797.68
  4. Step 4: Simplify right side
    276,476.90x = 31,851,436,896.11
  5. Step 5: Solve for x
    x = 31,851,436,896.11/276,476.90
  6. Step 6: Final answer
    x = 115,204.69

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1.5x scale

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.