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Finding the Fourth Proportional to 281,404.92, 422,007.75 and 103,864.26

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Solution

The fourth proportional to 281,404.92, 422,007.75 and 103,864.26 is: 155,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,404.92 : 422,007.75 = 103,864.26 : x
  2. Step 2: Convert to fraction form
    281,404.92/422,007.75 = 103,864.26/x
  3. Step 3: Cross multiply
    281,404.92x = 422,007.75 × 103,864.26
  4. Step 4: Simplify right side
    281,404.92x = 43,831,522,668.02
  5. Step 5: Solve for x
    x = 43,831,522,668.02/281,404.92
  6. Step 6: Final answer
    x = 155,759.62

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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.