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Finding the Fourth Proportional to 657,796.88, 986,851.31 and 214,564.88

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Solution

The fourth proportional to 657,796.88, 986,851.31 and 214,564.88 is: 321,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,796.88 : 986,851.31 = 214,564.88 : x
  2. Step 2: Convert to fraction form
    657,796.88/986,851.31 = 214,564.88/x
  3. Step 3: Cross multiply
    657,796.88x = 986,851.31 × 214,564.88
  4. Step 4: Simplify right side
    657,796.88x = 211,743,628,510.15
  5. Step 5: Solve for x
    x = 211,743,628,510.15/657,796.88
  6. Step 6: Final answer
    x = 321,898.20

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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.