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Finding the Fourth Proportional to 423,422, 635,257.77 and 170,572.38

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Solution

The fourth proportional to 423,422, 635,257.77 and 170,572.38 is: 255,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,422 : 635,257.77 = 170,572.38 : x
  2. Step 2: Convert to fraction form
    423,422/635,257.77 = 170,572.38/x
  3. Step 3: Cross multiply
    423,422x = 635,257.77 × 170,572.38
  4. Step 4: Simplify right side
    423,422x = 108,357,429,742.39
  5. Step 5: Solve for x
    x = 108,357,429,742.39/423,422
  6. Step 6: Final answer
    x = 255,908.83

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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.