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Finding the Fourth Proportional to 298,481.58, 447,707.70 and 111,478.50

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Solution

The fourth proportional to 298,481.58, 447,707.70 and 111,478.50 is: 167,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,481.58 : 447,707.70 = 111,478.50 : x
  2. Step 2: Convert to fraction form
    298,481.58/447,707.70 = 111,478.50/x
  3. Step 3: Cross multiply
    298,481.58x = 447,707.70 × 111,478.50
  4. Step 4: Simplify right side
    298,481.58x = 49,909,782,834.45
  5. Step 5: Solve for x
    x = 49,909,782,834.45/298,481.58
  6. Step 6: Final answer
    x = 167,212.27

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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.