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Finding the Fourth Proportional to 431,108.73, 645,997.88 and 273,005.03

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Solution

The fourth proportional to 431,108.73, 645,997.88 and 273,005.03 is: 409,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,108.73 : 645,997.88 = 273,005.03 : x
  2. Step 2: Convert to fraction form
    431,108.73/645,997.88 = 273,005.03/x
  3. Step 3: Cross multiply
    431,108.73x = 645,997.88 × 273,005.03
  4. Step 4: Simplify right side
    431,108.73x = 176,360,672,906.84
  5. Step 5: Solve for x
    x = 176,360,672,906.84/431,108.73
  6. Step 6: Final answer
    x = 409,086.29

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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.