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Finding the Fourth Proportional to 355,571.12, 490,811.72 and 204,728.24

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Solution

The fourth proportional to 355,571.12, 490,811.72 and 204,728.24 is: 282,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,571.12 : 490,811.72 = 204,728.24 : x
  2. Step 2: Convert to fraction form
    355,571.12/490,811.72 = 204,728.24/x
  3. Step 3: Cross multiply
    355,571.12x = 490,811.72 × 204,728.24
  4. Step 4: Simplify right side
    355,571.12x = 100,483,019,606.97
  5. Step 5: Solve for x
    x = 100,483,019,606.97/355,571.12
  6. Step 6: Final answer
    x = 282,596.12

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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.