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Finding the Fourth Proportional to 657,796.75, 986,851.13 and 214,564.75

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Solution

The fourth proportional to 657,796.75, 986,851.13 and 214,564.75 is: 321,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,796.75 : 986,851.13 = 214,564.75 : x
  2. Step 2: Convert to fraction form
    657,796.75/986,851.13 = 214,564.75/x
  3. Step 3: Cross multiply
    657,796.75x = 986,851.13 × 214,564.75
  4. Step 4: Simplify right side
    657,796.75x = 211,743,464,922.84
  5. Step 5: Solve for x
    x = 211,743,464,922.84/657,796.75
  6. Step 6: Final answer
    x = 321,898.01

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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.