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Finding the Fourth Proportional to 355,418.82, 490,477.98 and 194,274.51

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Solution

The fourth proportional to 355,418.82, 490,477.98 and 194,274.51 is: 268,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,418.82 : 490,477.98 = 194,274.51 : x
  2. Step 2: Convert to fraction form
    355,418.82/490,477.98 = 194,274.51/x
  3. Step 3: Cross multiply
    355,418.82x = 490,477.98 × 194,274.51
  4. Step 4: Simplify right side
    355,418.82x = 95,287,370,338.81
  5. Step 5: Solve for x
    x = 95,287,370,338.81/355,418.82
  6. Step 6: Final answer
    x = 268,098.83

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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.