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Finding the Fourth Proportional to 270,315.77, 373,020.70 and 149,450

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Solution

The fourth proportional to 270,315.77, 373,020.70 and 149,450 is: 206,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,315.77 : 373,020.70 = 149,450 : x
  2. Step 2: Convert to fraction form
    270,315.77/373,020.70 = 149,450/x
  3. Step 3: Cross multiply
    270,315.77x = 373,020.70 × 149,450
  4. Step 4: Simplify right side
    270,315.77x = 55,747,942,867.75
  5. Step 5: Solve for x
    x = 55,747,942,867.75/270,315.77
  6. Step 6: Final answer
    x = 206,232.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.