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Finding the Fourth Proportional to 298,930.82, 412,291.26 and 191,510.84

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Solution

The fourth proportional to 298,930.82, 412,291.26 and 191,510.84 is: 264,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,930.82 : 412,291.26 = 191,510.84 : x
  2. Step 2: Convert to fraction form
    298,930.82/412,291.26 = 191,510.84/x
  3. Step 3: Cross multiply
    298,930.82x = 412,291.26 × 191,510.84
  4. Step 4: Simplify right side
    298,930.82x = 78,958,245,527.26
  5. Step 5: Solve for x
    x = 78,958,245,527.26/298,930.82
  6. Step 6: Final answer
    x = 264,135.51

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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.