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Finding the Fourth Proportional to 329,010.45, 454,035.87 and 178,107.45

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Solution

The fourth proportional to 329,010.45, 454,035.87 and 178,107.45 is: 245,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,010.45 : 454,035.87 = 178,107.45 : x
  2. Step 2: Convert to fraction form
    329,010.45/454,035.87 = 178,107.45/x
  3. Step 3: Cross multiply
    329,010.45x = 454,035.87 × 178,107.45
  4. Step 4: Simplify right side
    329,010.45x = 80,867,171,014.23
  5. Step 5: Solve for x
    x = 80,867,171,014.23/329,010.45
  6. Step 6: Final answer
    x = 245,789.07

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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.