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Finding the Fourth Proportional to 389,916, 538,085.52 and 211,068

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Solution

The fourth proportional to 389,916, 538,085.52 and 211,068 is: 291,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,916 : 538,085.52 = 211,068 : x
  2. Step 2: Convert to fraction form
    389,916/538,085.52 = 211,068/x
  3. Step 3: Cross multiply
    389,916x = 538,085.52 × 211,068
  4. Step 4: Simplify right side
    389,916x = 113,572,634,535.36
  5. Step 5: Solve for x
    x = 113,572,634,535.36/389,916
  6. Step 6: Final answer
    x = 291,274.62

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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.