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Finding the Fourth Proportional to 289,556.40, 434,399.40 and 112,047.60

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Solution

The fourth proportional to 289,556.40, 434,399.40 and 112,047.60 is: 168,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,556.40 : 434,399.40 = 112,047.60 : x
  2. Step 2: Convert to fraction form
    289,556.40/434,399.40 = 112,047.60/x
  3. Step 3: Cross multiply
    289,556.40x = 434,399.40 × 112,047.60
  4. Step 4: Simplify right side
    289,556.40x = 48,673,410,211.44
  5. Step 5: Solve for x
    x = 48,673,410,211.44/289,556.40
  6. Step 6: Final answer
    x = 168,096.48

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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.