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Finding the Fourth Proportional to 355,287.15, 490,290.32 and 194,138.48

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Solution

The fourth proportional to 355,287.15, 490,290.32 and 194,138.48 is: 267,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,287.15 : 490,290.32 = 194,138.48 : x
  2. Step 2: Convert to fraction form
    355,287.15/490,290.32 = 194,138.48/x
  3. Step 3: Cross multiply
    355,287.15x = 490,290.32 × 194,138.48
  4. Step 4: Simplify right side
    355,287.15x = 95,184,219,194.59
  5. Step 5: Solve for x
    x = 95,184,219,194.59/355,287.15
  6. Step 6: Final answer
    x = 267,907.86

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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.