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Finding the Fourth Proportional to 948,290, 1,422,435 and 247,874

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Solution

The fourth proportional to 948,290, 1,422,435 and 247,874 is: 371,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,290 : 1,422,435 = 247,874 : x
  2. Step 2: Convert to fraction form
    948,290/1,422,435 = 247,874/x
  3. Step 3: Cross multiply
    948,290x = 1,422,435 × 247,874
  4. Step 4: Simplify right side
    948,290x = 352,584,653,190
  5. Step 5: Solve for x
    x = 352,584,653,190/948,290
  6. Step 6: Final answer
    x = 371,811

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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.