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Finding the Fourth Proportional to 394,958.84, 545,040.12 and 213,670.20

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Solution

The fourth proportional to 394,958.84, 545,040.12 and 213,670.20 is: 294,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,958.84 : 545,040.12 = 213,670.20 : x
  2. Step 2: Convert to fraction form
    394,958.84/545,040.12 = 213,670.20/x
  3. Step 3: Cross multiply
    394,958.84x = 545,040.12 × 213,670.20
  4. Step 4: Simplify right side
    394,958.84x = 116,458,832,490.75
  5. Step 5: Solve for x
    x = 116,458,832,490.75/394,958.84
  6. Step 6: Final answer
    x = 294,863.22

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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.