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Finding the Fourth Proportional to 657,794, 986,847 and 214,562

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Solution

The fourth proportional to 657,794, 986,847 and 214,562 is: 321,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,794 : 986,847 = 214,562 : x
  2. Step 2: Convert to fraction form
    657,794/986,847 = 214,562/x
  3. Step 3: Cross multiply
    657,794x = 986,847 × 214,562
  4. Step 4: Simplify right side
    657,794x = 211,739,866,014
  5. Step 5: Solve for x
    x = 211,739,866,014/657,794
  6. Step 6: Final answer
    x = 321,893.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.