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Finding the Fourth Proportional to 389,243.82, 537,163.56 and 228,144.54

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Solution

The fourth proportional to 389,243.82, 537,163.56 and 228,144.54 is: 314,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,243.82 : 537,163.56 = 228,144.54 : x
  2. Step 2: Convert to fraction form
    389,243.82/537,163.56 = 228,144.54/x
  3. Step 3: Cross multiply
    389,243.82x = 537,163.56 × 228,144.54
  4. Step 4: Simplify right side
    389,243.82x = 122,550,933,300.96
  5. Step 5: Solve for x
    x = 122,550,933,300.96/389,243.82
  6. Step 6: Final answer
    x = 314,843.62

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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.