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Finding the Fourth Proportional to 322,300.80, 444,749.03 and 186,343.47

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Solution

The fourth proportional to 322,300.80, 444,749.03 and 186,343.47 is: 257,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,300.80 : 444,749.03 = 186,343.47 : x
  2. Step 2: Convert to fraction form
    322,300.80/444,749.03 = 186,343.47/x
  3. Step 3: Cross multiply
    322,300.80x = 444,749.03 × 186,343.47
  4. Step 4: Simplify right side
    322,300.80x = 82,876,076,597.62
  5. Step 5: Solve for x
    x = 82,876,076,597.62/322,300.80
  6. Step 6: Final answer
    x = 257,138.91

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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.