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Finding the Fourth Proportional to 270,298.09, 372,982.80 and 149,419.90

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Solution

The fourth proportional to 270,298.09, 372,982.80 and 149,419.90 is: 206,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,298.09 : 372,982.80 = 149,419.90 : x
  2. Step 2: Convert to fraction form
    270,298.09/372,982.80 = 149,419.90/x
  3. Step 3: Cross multiply
    270,298.09x = 372,982.80 × 149,419.90
  4. Step 4: Simplify right side
    270,298.09x = 55,731,052,677.72
  5. Step 5: Solve for x
    x = 55,731,052,677.72/270,298.09
  6. Step 6: Final answer
    x = 206,183.67

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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.