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Finding the Fourth Proportional to 418,782.89, 627,809.82 and 269,065.73

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Solution

The fourth proportional to 418,782.89, 627,809.82 and 269,065.73 is: 403,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,782.89 : 627,809.82 = 269,065.73 : x
  2. Step 2: Convert to fraction form
    418,782.89/627,809.82 = 269,065.73/x
  3. Step 3: Cross multiply
    418,782.89x = 627,809.82 × 269,065.73
  4. Step 4: Simplify right side
    418,782.89x = 168,922,104,380.42
  5. Step 5: Solve for x
    x = 168,922,104,380.42/418,782.89
  6. Step 6: Final answer
    x = 403,364.39

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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.