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Finding the Fourth Proportional to 218,476.31, 301,496.51 and 122,983.25

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Solution

The fourth proportional to 218,476.31, 301,496.51 and 122,983.25 is: 169,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,476.31 : 301,496.51 = 122,983.25 : x
  2. Step 2: Convert to fraction form
    218,476.31/301,496.51 = 122,983.25/x
  3. Step 3: Cross multiply
    218,476.31x = 301,496.51 × 122,983.25
  4. Step 4: Simplify right side
    218,476.31x = 37,079,019,463.43
  5. Step 5: Solve for x
    x = 37,079,019,463.43/218,476.31
  6. Step 6: Final answer
    x = 169,716.43

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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.