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Finding the Fourth Proportional to 355,634.70, 490,775.94 and 194,490.06

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Solution

The fourth proportional to 355,634.70, 490,775.94 and 194,490.06 is: 268,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,634.70 : 490,775.94 = 194,490.06 : x
  2. Step 2: Convert to fraction form
    355,634.70/490,775.94 = 194,490.06/x
  3. Step 3: Cross multiply
    355,634.70x = 490,775.94 × 194,490.06
  4. Step 4: Simplify right side
    355,634.70x = 95,451,042,017.16
  5. Step 5: Solve for x
    x = 95,451,042,017.16/355,634.70
  6. Step 6: Final answer
    x = 268,396.31

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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.