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Finding the Fourth Proportional to 389,878, 538,033.26 and 211,030

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Solution

The fourth proportional to 389,878, 538,033.26 and 211,030 is: 291,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,878 : 538,033.26 = 211,030 : x
  2. Step 2: Convert to fraction form
    389,878/538,033.26 = 211,030/x
  3. Step 3: Cross multiply
    389,878x = 538,033.26 × 211,030
  4. Step 4: Simplify right side
    389,878x = 113,541,158,857.80
  5. Step 5: Solve for x
    x = 113,541,158,857.80/389,878
  6. Step 6: Final answer
    x = 291,222.28

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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.