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Finding the Fourth Proportional to 394,980, 545,072.76 and 216,132

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Solution

The fourth proportional to 394,980, 545,072.76 and 216,132 is: 298,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,980 : 545,072.76 = 216,132 : x
  2. Step 2: Convert to fraction form
    394,980/545,072.76 = 216,132/x
  3. Step 3: Cross multiply
    394,980x = 545,072.76 × 216,132
  4. Step 4: Simplify right side
    394,980x = 117,807,665,764.32
  5. Step 5: Solve for x
    x = 117,807,665,764.32/394,980
  6. Step 6: Final answer
    x = 298,262.36

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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.