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Finding the Fourth Proportional to 305,860, 422,086.80 and 171,726.88

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Solution

The fourth proportional to 305,860, 422,086.80 and 171,726.88 is: 236,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,860 : 422,086.80 = 171,726.88 : x
  2. Step 2: Convert to fraction form
    305,860/422,086.80 = 171,726.88/x
  3. Step 3: Cross multiply
    305,860x = 422,086.80 × 171,726.88
  4. Step 4: Simplify right side
    305,860x = 72,483,649,253.18
  5. Step 5: Solve for x
    x = 72,483,649,253.18/305,860
  6. Step 6: Final answer
    x = 236,983.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.