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Finding the Fourth Proportional to 389,948, 538,128.96 and 211,100

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Solution

The fourth proportional to 389,948, 538,128.96 and 211,100 is: 291,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,948 : 538,128.96 = 211,100 : x
  2. Step 2: Convert to fraction form
    389,948/538,128.96 = 211,100/x
  3. Step 3: Cross multiply
    389,948x = 538,128.96 × 211,100
  4. Step 4: Simplify right side
    389,948x = 113,599,023,456.00
  5. Step 5: Solve for x
    x = 113,599,023,456.00/389,948
  6. Step 6: Final answer
    x = 291,318.39

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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.