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Finding the Fourth Proportional to 427,121.56, 640,688.56 and 111,578.50

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Solution

The fourth proportional to 427,121.56, 640,688.56 and 111,578.50 is: 167,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,121.56 : 640,688.56 = 111,578.50 : x
  2. Step 2: Convert to fraction form
    427,121.56/640,688.56 = 111,578.50/x
  3. Step 3: Cross multiply
    427,121.56x = 640,688.56 × 111,578.50
  4. Step 4: Simplify right side
    427,121.56x = 71,487,068,491.96
  5. Step 5: Solve for x
    x = 71,487,068,491.96/427,121.56
  6. Step 6: Final answer
    x = 167,369.37

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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.