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Finding the Fourth Proportional to 427,190.76, 640,764.27 and 111,635.82

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Solution

The fourth proportional to 427,190.76, 640,764.27 and 111,635.82 is: 167,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,190.76 : 640,764.27 = 111,635.82 : x
  2. Step 2: Convert to fraction form
    427,190.76/640,764.27 = 111,635.82/x
  3. Step 3: Cross multiply
    427,190.76x = 640,764.27 × 111,635.82
  4. Step 4: Simplify right side
    427,190.76x = 71,532,244,708.15
  5. Step 5: Solve for x
    x = 71,532,244,708.15/427,190.76
  6. Step 6: Final answer
    x = 167,448.01

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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.