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Finding the Fourth Proportional to 355,757.67, 490,954.77 and 194,619.51

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Solution

The fourth proportional to 355,757.67, 490,954.77 and 194,619.51 is: 268,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,757.67 : 490,954.77 = 194,619.51 : x
  2. Step 2: Convert to fraction form
    355,757.67/490,954.77 = 194,619.51/x
  3. Step 3: Cross multiply
    355,757.67x = 490,954.77 × 194,619.51
  4. Step 4: Simplify right side
    355,757.67x = 95,549,376,769.56
  5. Step 5: Solve for x
    x = 95,549,376,769.56/355,757.67
  6. Step 6: Final answer
    x = 268,579.95

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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.