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Finding the Fourth Proportional to 277,949.80, 416,479.74 and 270,568.54

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Solution

The fourth proportional to 277,949.80, 416,479.74 and 270,568.54 is: 405,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,949.80 : 416,479.74 = 270,568.54 : x
  2. Step 2: Convert to fraction form
    277,949.80/416,479.74 = 270,568.54/x
  3. Step 3: Cross multiply
    277,949.80x = 416,479.74 × 270,568.54
  4. Step 4: Simplify right side
    277,949.80x = 112,686,315,191.38
  5. Step 5: Solve for x
    x = 112,686,315,191.38/277,949.80
  6. Step 6: Final answer
    x = 405,419.67

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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.