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Finding the Fourth Proportional to 254,264.72, 381,415.32 and 67,274

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Solution

The fourth proportional to 254,264.72, 381,415.32 and 67,274 is: 100,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,264.72 : 381,415.32 = 67,274 : x
  2. Step 2: Convert to fraction form
    254,264.72/381,415.32 = 67,274/x
  3. Step 3: Cross multiply
    254,264.72x = 381,415.32 × 67,274
  4. Step 4: Simplify right side
    254,264.72x = 25,659,334,237.68
  5. Step 5: Solve for x
    x = 25,659,334,237.68/254,264.72
  6. Step 6: Final answer
    x = 100,915.83

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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.