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Finding the Fourth Proportional to 305,530.75, 421,632.44 and 171,394.75

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Solution

The fourth proportional to 305,530.75, 421,632.44 and 171,394.75 is: 236,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,530.75 : 421,632.44 = 171,394.75 : x
  2. Step 2: Convert to fraction form
    305,530.75/421,632.44 = 171,394.75/x
  3. Step 3: Cross multiply
    305,530.75x = 421,632.44 × 171,394.75
  4. Step 4: Simplify right side
    305,530.75x = 72,265,586,645.69
  5. Step 5: Solve for x
    x = 72,265,586,645.69/305,530.75
  6. Step 6: Final answer
    x = 236,524.76

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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.