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Finding the Fourth Proportional to 389,879, 538,034.64 and 211,031

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Solution

The fourth proportional to 389,879, 538,034.64 and 211,031 is: 291,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,879 : 538,034.64 = 211,031 : x
  2. Step 2: Convert to fraction form
    389,879/538,034.64 = 211,031/x
  3. Step 3: Cross multiply
    389,879x = 538,034.64 × 211,031
  4. Step 4: Simplify right side
    389,879x = 113,541,988,113.84
  5. Step 5: Solve for x
    x = 113,541,988,113.84/389,879
  6. Step 6: Final answer
    x = 291,223.66

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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.