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Finding the Fourth Proportional to 355,505.74, 490,609.77 and 194,357.26

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Solution

The fourth proportional to 355,505.74, 490,609.77 and 194,357.26 is: 268,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,505.74 : 490,609.77 = 194,357.26 : x
  2. Step 2: Convert to fraction form
    355,505.74/490,609.77 = 194,357.26/x
  3. Step 3: Cross multiply
    355,505.74x = 490,609.77 × 194,357.26
  4. Step 4: Simplify right side
    355,505.74x = 95,353,570,626.43
  5. Step 5: Solve for x
    x = 95,353,570,626.43/355,505.74
  6. Step 6: Final answer
    x = 268,219.50

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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.