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Finding the Fourth Proportional to 276,116.44, 414,128.50 and 76,457

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Solution

The fourth proportional to 276,116.44, 414,128.50 and 76,457 is: 114,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,116.44 : 414,128.50 = 76,457 : x
  2. Step 2: Convert to fraction form
    276,116.44/414,128.50 = 76,457/x
  3. Step 3: Cross multiply
    276,116.44x = 414,128.50 × 76,457
  4. Step 4: Simplify right side
    276,116.44x = 31,663,022,724.50
  5. Step 5: Solve for x
    x = 31,663,022,724.50/276,116.44
  6. Step 6: Final answer
    x = 114,672.72

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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.