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Finding the Fourth Proportional to 276,328.46, 414,492.70 and 76,648.85

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Solution

The fourth proportional to 276,328.46, 414,492.70 and 76,648.85 is: 114,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,328.46 : 414,492.70 = 76,648.85 : x
  2. Step 2: Convert to fraction form
    276,328.46/414,492.70 = 76,648.85/x
  3. Step 3: Cross multiply
    276,328.46x = 414,492.70 × 76,648.85
  4. Step 4: Simplify right side
    276,328.46x = 31,770,388,728.98
  5. Step 5: Solve for x
    x = 31,770,388,728.98/276,328.46
  6. Step 6: Final answer
    x = 114,973.28

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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.