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Finding the Fourth Proportional to 418,813.24, 627,981.12 and 285,854.44

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Solution

The fourth proportional to 418,813.24, 627,981.12 and 285,854.44 is: 428,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,813.24 : 627,981.12 = 285,854.44 : x
  2. Step 2: Convert to fraction form
    418,813.24/627,981.12 = 285,854.44/x
  3. Step 3: Cross multiply
    418,813.24x = 627,981.12 × 285,854.44
  4. Step 4: Simplify right side
    418,813.24x = 179,511,191,388.17
  5. Step 5: Solve for x
    x = 179,511,191,388.17/418,813.24
  6. Step 6: Final answer
    x = 428,618.71

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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.