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Finding the Fourth Proportional to 328,989.20, 454,006.47 and 178,086.20

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Solution

The fourth proportional to 328,989.20, 454,006.47 and 178,086.20 is: 245,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,989.20 : 454,006.47 = 178,086.20 : x
  2. Step 2: Convert to fraction form
    328,989.20/454,006.47 = 178,086.20/x
  3. Step 3: Cross multiply
    328,989.20x = 454,006.47 × 178,086.20
  4. Step 4: Simplify right side
    328,989.20x = 80,852,284,747.68
  5. Step 5: Solve for x
    x = 80,852,284,747.68/328,989.20
  6. Step 6: Final answer
    x = 245,759.70

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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.