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Finding the Fourth Proportional to 355,302.02, 490,323.21 and 194,163.86

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Solution

The fourth proportional to 355,302.02, 490,323.21 and 194,163.86 is: 267,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,302.02 : 490,323.21 = 194,163.86 : x
  2. Step 2: Convert to fraction form
    355,302.02/490,323.21 = 194,163.86/x
  3. Step 3: Cross multiply
    355,302.02x = 490,323.21 × 194,163.86
  4. Step 4: Simplify right side
    355,302.02x = 95,203,048,327.00
  5. Step 5: Solve for x
    x = 95,203,048,327.00/355,302.02
  6. Step 6: Final answer
    x = 267,949.64

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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.