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Finding the Fourth Proportional to 305,328, 421,352.82 and 186,096

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Solution

The fourth proportional to 305,328, 421,352.82 and 186,096 is: 256,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,328 : 421,352.82 = 186,096 : x
  2. Step 2: Convert to fraction form
    305,328/421,352.82 = 186,096/x
  3. Step 3: Cross multiply
    305,328x = 421,352.82 × 186,096
  4. Step 4: Simplify right side
    305,328x = 78,412,074,390.72
  5. Step 5: Solve for x
    x = 78,412,074,390.72/305,328
  6. Step 6: Final answer
    x = 256,812.59

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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.