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Finding the Fourth Proportional to 298,995.60, 412,713.91 and 178,174.78

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Solution

The fourth proportional to 298,995.60, 412,713.91 and 178,174.78 is: 245,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,995.60 : 412,713.91 = 178,174.78 : x
  2. Step 2: Convert to fraction form
    298,995.60/412,713.91 = 178,174.78/x
  3. Step 3: Cross multiply
    298,995.60x = 412,713.91 × 178,174.78
  4. Step 4: Simplify right side
    298,995.60x = 73,535,210,117.19
  5. Step 5: Solve for x
    x = 73,535,210,117.19/298,995.60
  6. Step 6: Final answer
    x = 245,940.78

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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.