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Finding the Fourth Proportional to 353,882.82, 488,353.41 and 202,976.58

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Solution

The fourth proportional to 353,882.82, 488,353.41 and 202,976.58 is: 280,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,882.82 : 488,353.41 = 202,976.58 : x
  2. Step 2: Convert to fraction form
    353,882.82/488,353.41 = 202,976.58/x
  3. Step 3: Cross multiply
    353,882.82x = 488,353.41 × 202,976.58
  4. Step 4: Simplify right side
    353,882.82x = 99,124,304,993.14
  5. Step 5: Solve for x
    x = 99,124,304,993.14/353,882.82
  6. Step 6: Final answer
    x = 280,104.88

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1.5x scale

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.