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Finding the Fourth Proportional to 277,855.26, 416,782.90 and 67,491.78

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Solution

The fourth proportional to 277,855.26, 416,782.90 and 67,491.78 is: 101,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,855.26 : 416,782.90 = 67,491.78 : x
  2. Step 2: Convert to fraction form
    277,855.26/416,782.90 = 67,491.78/x
  3. Step 3: Cross multiply
    277,855.26x = 416,782.90 × 67,491.78
  4. Step 4: Simplify right side
    277,855.26x = 28,129,419,457.10
  5. Step 5: Solve for x
    x = 28,129,419,457.10/277,855.26
  6. Step 6: Final answer
    x = 101,237.67

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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.