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Finding the Fourth Proportional to 353,786.97, 488,161.16 and 208,638.29

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Solution

The fourth proportional to 353,786.97, 488,161.16 and 208,638.29 is: 287,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,786.97 : 488,161.16 = 208,638.29 : x
  2. Step 2: Convert to fraction form
    353,786.97/488,161.16 = 208,638.29/x
  3. Step 3: Cross multiply
    353,786.97x = 488,161.16 × 208,638.29
  4. Step 4: Simplify right side
    353,786.97x = 101,849,109,666.82
  5. Step 5: Solve for x
    x = 101,849,109,666.82/353,786.97
  6. Step 6: Final answer
    x = 287,882.59

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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.