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Finding the Fourth Proportional to 324,119.78, 447,310.04 and 178,953.56

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Solution

The fourth proportional to 324,119.78, 447,310.04 and 178,953.56 is: 246,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,119.78 : 447,310.04 = 178,953.56 : x
  2. Step 2: Convert to fraction form
    324,119.78/447,310.04 = 178,953.56/x
  3. Step 3: Cross multiply
    324,119.78x = 447,310.04 × 178,953.56
  4. Step 4: Simplify right side
    324,119.78x = 80,047,724,081.74
  5. Step 5: Solve for x
    x = 80,047,724,081.74/324,119.78
  6. Step 6: Final answer
    x = 246,969.57

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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.