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Finding the Fourth Proportional to 418,708.46, 627,824.82 and 285,749.78

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Solution

The fourth proportional to 418,708.46, 627,824.82 and 285,749.78 is: 428,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,708.46 : 627,824.82 = 285,749.78 : x
  2. Step 2: Convert to fraction form
    418,708.46/627,824.82 = 285,749.78/x
  3. Step 3: Cross multiply
    418,708.46x = 627,824.82 × 285,749.78
  4. Step 4: Simplify right side
    418,708.46x = 179,400,804,193.54
  5. Step 5: Solve for x
    x = 179,400,804,193.54/418,708.46
  6. Step 6: Final answer
    x = 428,462.33

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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.