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Finding the Fourth Proportional to 305,736, 421,955.64 and 171,600

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Solution

The fourth proportional to 305,736, 421,955.64 and 171,600 is: 236,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,736 : 421,955.64 = 171,600 : x
  2. Step 2: Convert to fraction form
    305,736/421,955.64 = 171,600/x
  3. Step 3: Cross multiply
    305,736x = 421,955.64 × 171,600
  4. Step 4: Simplify right side
    305,736x = 72,407,587,824
  5. Step 5: Solve for x
    x = 72,407,587,824/305,736
  6. Step 6: Final answer
    x = 236,830.43

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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.