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Finding the Fourth Proportional to 353,956, 488,459.28 and 194,980

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Solution

The fourth proportional to 353,956, 488,459.28 and 194,980 is: 269,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,956 : 488,459.28 = 194,980 : x
  2. Step 2: Convert to fraction form
    353,956/488,459.28 = 194,980/x
  3. Step 3: Cross multiply
    353,956x = 488,459.28 × 194,980
  4. Step 4: Simplify right side
    353,956x = 95,239,790,414.40
  5. Step 5: Solve for x
    x = 95,239,790,414.40/353,956
  6. Step 6: Final answer
    x = 269,072.40

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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.