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Finding the Fourth Proportional to 462,755.84, 638,650.17 and 281,480.27

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Solution

The fourth proportional to 462,755.84, 638,650.17 and 281,480.27 is: 388,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,755.84 : 638,650.17 = 281,480.27 : x
  2. Step 2: Convert to fraction form
    462,755.84/638,650.17 = 281,480.27/x
  3. Step 3: Cross multiply
    462,755.84x = 638,650.17 × 281,480.27
  4. Step 4: Simplify right side
    462,755.84x = 179,767,419,093.90
  5. Step 5: Solve for x
    x = 179,767,419,093.90/462,755.84
  6. Step 6: Final answer
    x = 388,471.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.