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Finding the Fourth Proportional to 355,703.80, 490,867.66 and 194,562

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Solution

The fourth proportional to 355,703.80, 490,867.66 and 194,562 is: 268,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,703.80 : 490,867.66 = 194,562 : x
  2. Step 2: Convert to fraction form
    355,703.80/490,867.66 = 194,562/x
  3. Step 3: Cross multiply
    355,703.80x = 490,867.66 × 194,562
  4. Step 4: Simplify right side
    355,703.80x = 95,504,193,664.92
  5. Step 5: Solve for x
    x = 95,504,193,664.92/355,703.80
  6. Step 6: Final answer
    x = 268,493.60

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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.