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Finding the Fourth Proportional to 654,614.78, 981,611.94 and 228,001.82

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Solution

The fourth proportional to 654,614.78, 981,611.94 and 228,001.82 is: 341,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,614.78 : 981,611.94 = 228,001.82 : x
  2. Step 2: Convert to fraction form
    654,614.78/981,611.94 = 228,001.82/x
  3. Step 3: Cross multiply
    654,614.78x = 981,611.94 × 228,001.82
  4. Step 4: Simplify right side
    654,614.78x = 223,809,308,853.73
  5. Step 5: Solve for x
    x = 223,809,308,853.73/654,614.78
  6. Step 6: Final answer
    x = 341,894.68

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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.