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Finding the Fourth Proportional to 355,212.98, 490,200.96 and 194,078.03

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Solution

The fourth proportional to 355,212.98, 490,200.96 and 194,078.03 is: 267,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,212.98 : 490,200.96 = 194,078.03 : x
  2. Step 2: Convert to fraction form
    355,212.98/490,200.96 = 194,078.03/x
  3. Step 3: Cross multiply
    355,212.98x = 490,200.96 × 194,078.03
  4. Step 4: Simplify right side
    355,212.98x = 95,137,234,897.70
  5. Step 5: Solve for x
    x = 95,137,234,897.70/355,212.98
  6. Step 6: Final answer
    x = 267,831.53

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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.