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Finding the Fourth Proportional to 389,946, 538,126.20 and 211,098

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Solution

The fourth proportional to 389,946, 538,126.20 and 211,098 is: 291,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,946 : 538,126.20 = 211,098 : x
  2. Step 2: Convert to fraction form
    389,946/538,126.20 = 211,098/x
  3. Step 3: Cross multiply
    389,946x = 538,126.20 × 211,098
  4. Step 4: Simplify right side
    389,946x = 113,597,364,567.60
  5. Step 5: Solve for x
    x = 113,597,364,567.60/389,946
  6. Step 6: Final answer
    x = 291,315.63

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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.