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Finding the Fourth Proportional to 304,761.74, 420,853.90 and 228,147.83

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Solution

The fourth proportional to 304,761.74, 420,853.90 and 228,147.83 is: 315,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,761.74 : 420,853.90 = 228,147.83 : x
  2. Step 2: Convert to fraction form
    304,761.74/420,853.90 = 228,147.83/x
  3. Step 3: Cross multiply
    304,761.74x = 420,853.90 × 228,147.83
  4. Step 4: Simplify right side
    304,761.74x = 96,016,902,640.73
  5. Step 5: Solve for x
    x = 96,016,902,640.73/304,761.74
  6. Step 6: Final answer
    x = 315,055.63

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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.