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Finding the Fourth Proportional to 298,906.80, 447,971.40 and 121,268.40

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Solution

The fourth proportional to 298,906.80, 447,971.40 and 121,268.40 is: 181,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906.80 : 447,971.40 = 121,268.40 : x
  2. Step 2: Convert to fraction form
    298,906.80/447,971.40 = 121,268.40/x
  3. Step 3: Cross multiply
    298,906.80x = 447,971.40 × 121,268.40
  4. Step 4: Simplify right side
    298,906.80x = 54,324,774,923.76
  5. Step 5: Solve for x
    x = 54,324,774,923.76/298,906.80
  6. Step 6: Final answer
    x = 181,744.86

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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.