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Finding the Fourth Proportional to 389,889, 538,048.44 and 211,041

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Solution

The fourth proportional to 389,889, 538,048.44 and 211,041 is: 291,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,889 : 538,048.44 = 211,041 : x
  2. Step 2: Convert to fraction form
    389,889/538,048.44 = 211,041/x
  3. Step 3: Cross multiply
    389,889x = 538,048.44 × 211,041
  4. Step 4: Simplify right side
    389,889x = 113,550,280,826.04
  5. Step 5: Solve for x
    x = 113,550,280,826.04/389,889
  6. Step 6: Final answer
    x = 291,237.46

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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.