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Finding the Fourth Proportional to 355,283.75, 490,292.84 and 194,138.79

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Solution

The fourth proportional to 355,283.75, 490,292.84 and 194,138.79 is: 267,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,283.75 : 490,292.84 = 194,138.79 : x
  2. Step 2: Convert to fraction form
    355,283.75/490,292.84 = 194,138.79/x
  3. Step 3: Cross multiply
    355,283.75x = 490,292.84 × 194,138.79
  4. Step 4: Simplify right side
    355,283.75x = 95,184,859,188.61
  5. Step 5: Solve for x
    x = 95,184,859,188.61/355,283.75
  6. Step 6: Final answer
    x = 267,912.23

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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.