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Finding the Fourth Proportional to 254,470.62, 381,724.17 and 76,991.48

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Solution

The fourth proportional to 254,470.62, 381,724.17 and 76,991.48 is: 115,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,470.62 : 381,724.17 = 76,991.48 : x
  2. Step 2: Convert to fraction form
    254,470.62/381,724.17 = 76,991.48/x
  3. Step 3: Cross multiply
    254,470.62x = 381,724.17 × 76,991.48
  4. Step 4: Simplify right side
    254,470.62x = 29,389,508,800.07
  5. Step 5: Solve for x
    x = 29,389,508,800.07/254,470.62
  6. Step 6: Final answer
    x = 115,492.74

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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.