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Finding the Fourth Proportional to 418,705.95, 627,821.08 and 285,747.28

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Solution

The fourth proportional to 418,705.95, 627,821.08 and 285,747.28 is: 428,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,705.95 : 627,821.08 = 285,747.28 : x
  2. Step 2: Convert to fraction form
    418,705.95/627,821.08 = 285,747.28/x
  3. Step 3: Cross multiply
    418,705.95x = 627,821.08 × 285,747.28
  4. Step 4: Simplify right side
    418,705.95x = 179,398,165,936.66
  5. Step 5: Solve for x
    x = 179,398,165,936.66/418,705.95
  6. Step 6: Final answer
    x = 428,458.60

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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.