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Finding the Fourth Proportional to 298,978.28, 414,371.03 and 293,379.56

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Solution

The fourth proportional to 298,978.28, 414,371.03 and 293,379.56 is: 406,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,978.28 : 414,371.03 = 293,379.56 : x
  2. Step 2: Convert to fraction form
    298,978.28/414,371.03 = 293,379.56/x
  3. Step 3: Cross multiply
    298,978.28x = 414,371.03 × 293,379.56
  4. Step 4: Simplify right side
    298,978.28x = 121,567,988,991.25
  5. Step 5: Solve for x
    x = 121,567,988,991.25/298,978.28
  6. Step 6: Final answer
    x = 406,611.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.