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Finding the Fourth Proportional to 298,989.73, 412,705.80 and 178,168.91

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Solution

The fourth proportional to 298,989.73, 412,705.80 and 178,168.91 is: 245,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,989.73 : 412,705.80 = 178,168.91 : x
  2. Step 2: Convert to fraction form
    298,989.73/412,705.80 = 178,168.91/x
  3. Step 3: Cross multiply
    298,989.73x = 412,705.80 × 178,168.91
  4. Step 4: Simplify right side
    298,989.73x = 73,531,342,536.68
  5. Step 5: Solve for x
    x = 73,531,342,536.68/298,989.73
  6. Step 6: Final answer
    x = 245,932.67

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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.