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Finding the Fourth Proportional to 431,614.80, 648,102.60 and 254,257.20

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Solution

The fourth proportional to 431,614.80, 648,102.60 and 254,257.20 is: 381,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,614.80 : 648,102.60 = 254,257.20 : x
  2. Step 2: Convert to fraction form
    431,614.80/648,102.60 = 254,257.20/x
  3. Step 3: Cross multiply
    431,614.80x = 648,102.60 × 254,257.20
  4. Step 4: Simplify right side
    431,614.80x = 164,784,752,388.72
  5. Step 5: Solve for x
    x = 164,784,752,388.72/431,614.80
  6. Step 6: Final answer
    x = 381,786.61

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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.