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Finding the Fourth Proportional to 298,704.78, 412,024.30 and 177,755.80

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Solution

The fourth proportional to 298,704.78, 412,024.30 and 177,755.80 is: 245,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,704.78 : 412,024.30 = 177,755.80 : x
  2. Step 2: Convert to fraction form
    298,704.78/412,024.30 = 177,755.80/x
  3. Step 3: Cross multiply
    298,704.78x = 412,024.30 × 177,755.80
  4. Step 4: Simplify right side
    298,704.78x = 73,239,709,065.94
  5. Step 5: Solve for x
    x = 73,239,709,065.94/298,704.78
  6. Step 6: Final answer
    x = 245,190.95

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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.