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Finding the Fourth Proportional to 298,321.58, 447,467.79 and 111,318.50

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Solution

The fourth proportional to 298,321.58, 447,467.79 and 111,318.50 is: 166,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,321.58 : 447,467.79 = 111,318.50 : x
  2. Step 2: Convert to fraction form
    298,321.58/447,467.79 = 111,318.50/x
  3. Step 3: Cross multiply
    298,321.58x = 447,467.79 × 111,318.50
  4. Step 4: Simplify right side
    298,321.58x = 49,811,443,181.12
  5. Step 5: Solve for x
    x = 49,811,443,181.12/298,321.58
  6. Step 6: Final answer
    x = 166,972.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.