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Finding the Fourth Proportional to 254,254.72, 381,400.32 and 67,264

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Solution

The fourth proportional to 254,254.72, 381,400.32 and 67,264 is: 100,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,254.72 : 381,400.32 = 67,264 : x
  2. Step 2: Convert to fraction form
    254,254.72/381,400.32 = 67,264/x
  3. Step 3: Cross multiply
    254,254.72x = 381,400.32 × 67,264
  4. Step 4: Simplify right side
    254,254.72x = 25,654,511,124.48
  5. Step 5: Solve for x
    x = 25,654,511,124.48/254,254.72
  6. Step 6: Final answer
    x = 100,900.83

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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.