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Finding the Fourth Proportional to 469,078, 703,617 and 206,422

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Solution

The fourth proportional to 469,078, 703,617 and 206,422 is: 309,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,078 : 703,617 = 206,422 : x
  2. Step 2: Convert to fraction form
    469,078/703,617 = 206,422/x
  3. Step 3: Cross multiply
    469,078x = 703,617 × 206,422
  4. Step 4: Simplify right side
    469,078x = 145,242,028,374
  5. Step 5: Solve for x
    x = 145,242,028,374/469,078
  6. Step 6: Final answer
    x = 309,633

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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.