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Finding the Fourth Proportional to 270,183.57, 405,274.81 and 253,742.12

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Solution

The fourth proportional to 270,183.57, 405,274.81 and 253,742.12 is: 380,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,183.57 : 405,274.81 = 253,742.12 : x
  2. Step 2: Convert to fraction form
    270,183.57/405,274.81 = 253,742.12/x
  3. Step 3: Cross multiply
    270,183.57x = 405,274.81 × 253,742.12
  4. Step 4: Simplify right side
    270,183.57x = 102,835,289,472.00
  5. Step 5: Solve for x
    x = 102,835,289,472.00/270,183.57
  6. Step 6: Final answer
    x = 380,612.67

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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.