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Finding the Fourth Proportional to 394,261.10, 591,326.94 and 109,971

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Solution

The fourth proportional to 394,261.10, 591,326.94 and 109,971 is: 164,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,261.10 : 591,326.94 = 109,971 : x
  2. Step 2: Convert to fraction form
    394,261.10/591,326.94 = 109,971/x
  3. Step 3: Cross multiply
    394,261.10x = 591,326.94 × 109,971
  4. Step 4: Simplify right side
    394,261.10x = 65,028,814,918.74
  5. Step 5: Solve for x
    x = 65,028,814,918.74/394,261.10
  6. Step 6: Final answer
    x = 164,938.45

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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.