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Finding the Fourth Proportional to 276,229.94, 414,343.72 and 76,549.76

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Solution

The fourth proportional to 276,229.94, 414,343.72 and 76,549.76 is: 114,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,229.94 : 414,343.72 = 76,549.76 : x
  2. Step 2: Convert to fraction form
    276,229.94/414,343.72 = 76,549.76/x
  3. Step 3: Cross multiply
    276,229.94x = 414,343.72 × 76,549.76
  4. Step 4: Simplify right side
    276,229.94x = 31,717,912,323.51
  5. Step 5: Solve for x
    x = 31,717,912,323.51/276,229.94
  6. Step 6: Final answer
    x = 114,824.31

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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.