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Finding the Fourth Proportional to 322,836.76, 445,348.74 and 188,623

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Solution

The fourth proportional to 322,836.76, 445,348.74 and 188,623 is: 260,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,836.76 : 445,348.74 = 188,623 : x
  2. Step 2: Convert to fraction form
    322,836.76/445,348.74 = 188,623/x
  3. Step 3: Cross multiply
    322,836.76x = 445,348.74 × 188,623
  4. Step 4: Simplify right side
    322,836.76x = 84,003,015,385.02
  5. Step 5: Solve for x
    x = 84,003,015,385.02/322,836.76
  6. Step 6: Final answer
    x = 260,202.76

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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.