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Finding the Fourth Proportional to 299,258.43, 412,852.73 and 208,668.03

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Solution

The fourth proportional to 299,258.43, 412,852.73 and 208,668.03 is: 287,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,258.43 : 412,852.73 = 208,668.03 : x
  2. Step 2: Convert to fraction form
    299,258.43/412,852.73 = 208,668.03/x
  3. Step 3: Cross multiply
    299,258.43x = 412,852.73 × 208,668.03
  4. Step 4: Simplify right side
    299,258.43x = 86,149,164,805.88
  5. Step 5: Solve for x
    x = 86,149,164,805.88/299,258.43
  6. Step 6: Final answer
    x = 287,875.48

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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.