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Finding the Fourth Proportional to 276,112.16, 414,168.84 and 76,433.12

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Solution

The fourth proportional to 276,112.16, 414,168.84 and 76,433.12 is: 114,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,112.16 : 414,168.84 = 76,433.12 : x
  2. Step 2: Convert to fraction form
    276,112.16/414,168.84 = 76,433.12/x
  3. Step 3: Cross multiply
    276,112.16x = 414,168.84 × 76,433.12
  4. Step 4: Simplify right side
    276,112.16x = 31,656,216,647.98
  5. Step 5: Solve for x
    x = 31,656,216,647.98/276,112.16
  6. Step 6: Final answer
    x = 114,649.85

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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.