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Finding the Fourth Proportional to 418,755.12, 627,894.66 and 285,796.44

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Solution

The fourth proportional to 418,755.12, 627,894.66 and 285,796.44 is: 428,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,755.12 : 627,894.66 = 285,796.44 : x
  2. Step 2: Convert to fraction form
    418,755.12/627,894.66 = 285,796.44/x
  3. Step 3: Cross multiply
    418,755.12x = 627,894.66 × 285,796.44
  4. Step 4: Simplify right side
    418,755.12x = 179,450,058,523.01
  5. Step 5: Solve for x
    x = 179,450,058,523.01/418,755.12
  6. Step 6: Final answer
    x = 428,532.21

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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.