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Finding the Fourth Proportional to 305,268, 421,269.84 and 171,132

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Solution

The fourth proportional to 305,268, 421,269.84 and 171,132 is: 236,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,268 : 421,269.84 = 171,132 : x
  2. Step 2: Convert to fraction form
    305,268/421,269.84 = 171,132/x
  3. Step 3: Cross multiply
    305,268x = 421,269.84 × 171,132
  4. Step 4: Simplify right side
    305,268x = 72,092,750,258.88
  5. Step 5: Solve for x
    x = 72,092,750,258.88/305,268
  6. Step 6: Final answer
    x = 236,162.16

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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.