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Finding the Fourth Proportional to 298,950.44, 412,421.94 and 189,996.57

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Solution

The fourth proportional to 298,950.44, 412,421.94 and 189,996.57 is: 262,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,950.44 : 412,421.94 = 189,996.57 : x
  2. Step 2: Convert to fraction form
    298,950.44/412,421.94 = 189,996.57/x
  3. Step 3: Cross multiply
    298,950.44x = 412,421.94 × 189,996.57
  4. Step 4: Simplify right side
    298,950.44x = 78,358,753,992.75
  5. Step 5: Solve for x
    x = 78,358,753,992.75/298,950.44
  6. Step 6: Final answer
    x = 262,112.86

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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.