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Finding the Fourth Proportional to 315,786.39, 436,076.25 and 202,805.97

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Solution

The fourth proportional to 315,786.39, 436,076.25 and 202,805.97 is: 280,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,786.39 : 436,076.25 = 202,805.97 : x
  2. Step 2: Convert to fraction form
    315,786.39/436,076.25 = 202,805.97/x
  3. Step 3: Cross multiply
    315,786.39x = 436,076.25 × 202,805.97
  4. Step 4: Simplify right side
    315,786.39x = 88,438,866,875.21
  5. Step 5: Solve for x
    x = 88,438,866,875.21/315,786.39
  6. Step 6: Final answer
    x = 280,059.15

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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.