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Finding the Fourth Proportional to 427,792.44, 641,834.52 and 161,629.68

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Solution

The fourth proportional to 427,792.44, 641,834.52 and 161,629.68 is: 242,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,792.44 : 641,834.52 = 161,629.68 : x
  2. Step 2: Convert to fraction form
    427,792.44/641,834.52 = 161,629.68/x
  3. Step 3: Cross multiply
    427,792.44x = 641,834.52 × 161,629.68
  4. Step 4: Simplify right side
    427,792.44x = 103,739,508,080.55
  5. Step 5: Solve for x
    x = 103,739,508,080.55/427,792.44
  6. Step 6: Final answer
    x = 242,499.63

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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.