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Finding the Fourth Proportional to 298,514.22, 447,770.31 and 121,020.81

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Solution

The fourth proportional to 298,514.22, 447,770.31 and 121,020.81 is: 181,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,514.22 : 447,770.31 = 121,020.81 : x
  2. Step 2: Convert to fraction form
    298,514.22/447,770.31 = 121,020.81/x
  3. Step 3: Cross multiply
    298,514.22x = 447,770.31 × 121,020.81
  4. Step 4: Simplify right side
    298,514.22x = 54,189,525,610.15
  5. Step 5: Solve for x
    x = 54,189,525,610.15/298,514.22
  6. Step 6: Final answer
    x = 181,530.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.