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Finding the Fourth Proportional to 356,422.78, 491,786.89 and 211,274.33

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Solution

The fourth proportional to 356,422.78, 491,786.89 and 211,274.33 is: 291,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,422.78 : 491,786.89 = 211,274.33 : x
  2. Step 2: Convert to fraction form
    356,422.78/491,786.89 = 211,274.33/x
  3. Step 3: Cross multiply
    356,422.78x = 491,786.89 × 211,274.33
  4. Step 4: Simplify right side
    356,422.78x = 103,901,943,888.83
  5. Step 5: Solve for x
    x = 103,901,943,888.83/356,422.78
  6. Step 6: Final answer
    x = 291,513.20

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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.