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Finding the Fourth Proportional to 276,814.40, 414,530.40 and 182,811.20

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Solution

The fourth proportional to 276,814.40, 414,530.40 and 182,811.20 is: 273,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814.40 : 414,530.40 = 182,811.20 : x
  2. Step 2: Convert to fraction form
    276,814.40/414,530.40 = 182,811.20/x
  3. Step 3: Cross multiply
    276,814.40x = 414,530.40 × 182,811.20
  4. Step 4: Simplify right side
    276,814.40x = 75,780,799,860.48
  5. Step 5: Solve for x
    x = 75,780,799,860.48/276,814.40
  6. Step 6: Final answer
    x = 273,760.32

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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.