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Finding the Fourth Proportional to 355,148, 490,104.24 and 196,182.24

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Solution

The fourth proportional to 355,148, 490,104.24 and 196,182.24 is: 270,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,148 : 490,104.24 = 196,182.24 : x
  2. Step 2: Convert to fraction form
    355,148/490,104.24 = 196,182.24/x
  3. Step 3: Cross multiply
    355,148x = 490,104.24 × 196,182.24
  4. Step 4: Simplify right side
    355,148x = 96,149,747,636.70
  5. Step 5: Solve for x
    x = 96,149,747,636.70/355,148
  6. Step 6: Final answer
    x = 270,731.49

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1.5x scale

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.