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Finding the Fourth Proportional to 276,366.45, 414,503.30 and 76,707.12

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Solution

The fourth proportional to 276,366.45, 414,503.30 and 76,707.12 is: 115,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,366.45 : 414,503.30 = 76,707.12 : x
  2. Step 2: Convert to fraction form
    276,366.45/414,503.30 = 76,707.12/x
  3. Step 3: Cross multiply
    276,366.45x = 414,503.30 × 76,707.12
  4. Step 4: Simplify right side
    276,366.45x = 31,795,354,565.26
  5. Step 5: Solve for x
    x = 31,795,354,565.26/276,366.45
  6. Step 6: Final answer
    x = 115,047.81

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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.