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Finding the Fourth Proportional to 254,479.20, 381,864.60 and 96,820.80

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Solution

The fourth proportional to 254,479.20, 381,864.60 and 96,820.80 is: 145,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,479.20 : 381,864.60 = 96,820.80 : x
  2. Step 2: Convert to fraction form
    254,479.20/381,864.60 = 96,820.80/x
  3. Step 3: Cross multiply
    254,479.20x = 381,864.60 × 96,820.80
  4. Step 4: Simplify right side
    254,479.20x = 36,972,436,063.68
  5. Step 5: Solve for x
    x = 36,972,436,063.68/254,479.20
  6. Step 6: Final answer
    x = 145,286.67

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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.