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Finding the Fourth Proportional to 277,268.06, 415,902.20 and 66,906

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Solution

The fourth proportional to 277,268.06, 415,902.20 and 66,906 is: 100,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,268.06 : 415,902.20 = 66,906 : x
  2. Step 2: Convert to fraction form
    277,268.06/415,902.20 = 66,906/x
  3. Step 3: Cross multiply
    277,268.06x = 415,902.20 × 66,906
  4. Step 4: Simplify right side
    277,268.06x = 27,826,352,258.67
  5. Step 5: Solve for x
    x = 27,826,352,258.67/277,268.06
  6. Step 6: Final answer
    x = 100,359.02

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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.