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Finding the Fourth Proportional to 311,331.87, 467,145.42 and 185,221.23

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Solution

The fourth proportional to 311,331.87, 467,145.42 and 185,221.23 is: 277,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,331.87 : 467,145.42 = 185,221.23 : x
  2. Step 2: Convert to fraction form
    311,331.87/467,145.42 = 185,221.23/x
  3. Step 3: Cross multiply
    311,331.87x = 467,145.42 × 185,221.23
  4. Step 4: Simplify right side
    311,331.87x = 86,525,249,281.27
  5. Step 5: Solve for x
    x = 86,525,249,281.27/311,331.87
  6. Step 6: Final answer
    x = 277,919.67

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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.