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Finding the Fourth Proportional to 389,880, 538,036.02 and 211,032

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Solution

The fourth proportional to 389,880, 538,036.02 and 211,032 is: 291,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,880 : 538,036.02 = 211,032 : x
  2. Step 2: Convert to fraction form
    389,880/538,036.02 = 211,032/x
  3. Step 3: Cross multiply
    389,880x = 538,036.02 × 211,032
  4. Step 4: Simplify right side
    389,880x = 113,542,817,372.64
  5. Step 5: Solve for x
    x = 113,542,817,372.64/389,880
  6. Step 6: Final answer
    x = 291,225.04

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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.