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Finding the Fourth Proportional to 389,911.72, 538,078.98 and 211,063.72

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Solution

The fourth proportional to 389,911.72, 538,078.98 and 211,063.72 is: 291,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,911.72 : 538,078.98 = 211,063.72 : x
  2. Step 2: Convert to fraction form
    389,911.72/538,078.98 = 211,063.72/x
  3. Step 3: Cross multiply
    389,911.72x = 538,078.98 × 211,063.72
  4. Step 4: Simplify right side
    389,911.72x = 113,568,951,172.61
  5. Step 5: Solve for x
    x = 113,568,951,172.61/389,911.72
  6. Step 6: Final answer
    x = 291,268.37

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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.