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Finding the Fourth Proportional to 657,744, 986,616 and 214,512

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Solution

The fourth proportional to 657,744, 986,616 and 214,512 is: 321,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,744 : 986,616 = 214,512 : x
  2. Step 2: Convert to fraction form
    657,744/986,616 = 214,512/x
  3. Step 3: Cross multiply
    657,744x = 986,616 × 214,512
  4. Step 4: Simplify right side
    657,744x = 211,640,971,392
  5. Step 5: Solve for x
    x = 211,640,971,392/657,744
  6. Step 6: Final answer
    x = 321,768

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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.