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Finding the Fourth Proportional to 276,366.08, 414,502.74 and 76,706.75

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Solution

The fourth proportional to 276,366.08, 414,502.74 and 76,706.75 is: 115,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,366.08 : 414,502.74 = 76,706.75 : x
  2. Step 2: Convert to fraction form
    276,366.08/414,502.74 = 76,706.75/x
  3. Step 3: Cross multiply
    276,366.08x = 414,502.74 × 76,706.75
  4. Step 4: Simplify right side
    276,366.08x = 31,795,155,978.98
  5. Step 5: Solve for x
    x = 31,795,155,978.98/276,366.08
  6. Step 6: Final answer
    x = 115,047.25

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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.