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Finding the Fourth Proportional to 355,181.54, 490,148.88 and 202,226

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Solution

The fourth proportional to 355,181.54, 490,148.88 and 202,226 is: 279,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,181.54 : 490,148.88 = 202,226 : x
  2. Step 2: Convert to fraction form
    355,181.54/490,148.88 = 202,226/x
  3. Step 3: Cross multiply
    355,181.54x = 490,148.88 × 202,226
  4. Step 4: Simplify right side
    355,181.54x = 99,120,847,406.88
  5. Step 5: Solve for x
    x = 99,120,847,406.88/355,181.54
  6. Step 6: Final answer
    x = 279,070.94

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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.