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Finding the Fourth Proportional to 276,312.56, 414,468.82 and 76,632.95

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Solution

The fourth proportional to 276,312.56, 414,468.82 and 76,632.95 is: 114,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,312.56 : 414,468.82 = 76,632.95 : x
  2. Step 2: Convert to fraction form
    276,312.56/414,468.82 = 76,632.95/x
  3. Step 3: Cross multiply
    276,312.56x = 414,468.82 × 76,632.95
  4. Step 4: Simplify right side
    276,312.56x = 31,761,966,287.27
  5. Step 5: Solve for x
    x = 31,761,966,287.27/276,312.56
  6. Step 6: Final answer
    x = 114,949.41

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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.