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Finding the Fourth Proportional to 329,703, 454,990.41 and 178,800

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Solution

The fourth proportional to 329,703, 454,990.41 and 178,800 is: 246,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,703 : 454,990.41 = 178,800 : x
  2. Step 2: Convert to fraction form
    329,703/454,990.41 = 178,800/x
  3. Step 3: Cross multiply
    329,703x = 454,990.41 × 178,800
  4. Step 4: Simplify right side
    329,703x = 81,352,285,308
  5. Step 5: Solve for x
    x = 81,352,285,308/329,703
  6. Step 6: Final answer
    x = 246,744.15

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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.