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Finding the Fourth Proportional to 355,419, 490,462.92 and 194,280.84

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Solution

The fourth proportional to 355,419, 490,462.92 and 194,280.84 is: 268,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,419 : 490,462.92 = 194,280.84 : x
  2. Step 2: Convert to fraction form
    355,419/490,462.92 = 194,280.84/x
  3. Step 3: Cross multiply
    355,419x = 490,462.92 × 194,280.84
  4. Step 4: Simplify right side
    355,419x = 95,287,548,086.45
  5. Step 5: Solve for x
    x = 95,287,548,086.45/355,419
  6. Step 6: Final answer
    x = 268,099.20

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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.