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Finding the Fourth Proportional to 254,446.56, 381,683.76 and 76,949.28

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Solution

The fourth proportional to 254,446.56, 381,683.76 and 76,949.28 is: 115,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,446.56 : 381,683.76 = 76,949.28 : x
  2. Step 2: Convert to fraction form
    254,446.56/381,683.76 = 76,949.28/x
  3. Step 3: Cross multiply
    254,446.56x = 381,683.76 × 76,949.28
  4. Step 4: Simplify right side
    254,446.56x = 29,370,290,519.69
  5. Step 5: Solve for x
    x = 29,370,290,519.69/254,446.56
  6. Step 6: Final answer
    x = 115,428.13

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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.