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Finding the Fourth Proportional to 393,144, 542,538.96 and 214,296

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Solution

The fourth proportional to 393,144, 542,538.96 and 214,296 is: 295,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,144 : 542,538.96 = 214,296 : x
  2. Step 2: Convert to fraction form
    393,144/542,538.96 = 214,296/x
  3. Step 3: Cross multiply
    393,144x = 542,538.96 × 214,296
  4. Step 4: Simplify right side
    393,144x = 116,263,928,972.16
  5. Step 5: Solve for x
    x = 116,263,928,972.16/393,144
  6. Step 6: Final answer
    x = 295,728.61

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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.