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Finding the Fourth Proportional to 299,107.92, 413,316.36 and 284,529.36

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Solution

The fourth proportional to 299,107.92, 413,316.36 and 284,529.36 is: 393,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,107.92 : 413,316.36 = 284,529.36 : x
  2. Step 2: Convert to fraction form
    299,107.92/413,316.36 = 284,529.36/x
  3. Step 3: Cross multiply
    299,107.92x = 413,316.36 × 284,529.36
  4. Step 4: Simplify right side
    299,107.92x = 117,600,639,388.33
  5. Step 5: Solve for x
    x = 117,600,639,388.33/299,107.92
  6. Step 6: Final answer
    x = 393,171.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.