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Finding the Fourth Proportional to 298,995.10, 412,713.22 and 178,174.28

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Solution

The fourth proportional to 298,995.10, 412,713.22 and 178,174.28 is: 245,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,995.10 : 412,713.22 = 178,174.28 : x
  2. Step 2: Convert to fraction form
    298,995.10/412,713.22 = 178,174.28/x
  3. Step 3: Cross multiply
    298,995.10x = 412,713.22 × 178,174.28
  4. Step 4: Simplify right side
    298,995.10x = 73,534,880,819.98
  5. Step 5: Solve for x
    x = 73,534,880,819.98/298,995.10
  6. Step 6: Final answer
    x = 245,940.09

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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.