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Finding the Fourth Proportional to 322,743.70, 445,355.13 and 186,750.57

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Solution

The fourth proportional to 322,743.70, 445,355.13 and 186,750.57 is: 257,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,743.70 : 445,355.13 = 186,750.57 : x
  2. Step 2: Convert to fraction form
    322,743.70/445,355.13 = 186,750.57/x
  3. Step 3: Cross multiply
    322,743.70x = 445,355.13 × 186,750.57
  4. Step 4: Simplify right side
    322,743.70x = 83,170,324,379.92
  5. Step 5: Solve for x
    x = 83,170,324,379.92/322,743.70
  6. Step 6: Final answer
    x = 257,697.75

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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.