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Finding the Fourth Proportional to 355,282.16, 490,285.68 and 200,219

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Solution

The fourth proportional to 355,282.16, 490,285.68 and 200,219 is: 276,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,282.16 : 490,285.68 = 200,219 : x
  2. Step 2: Convert to fraction form
    355,282.16/490,285.68 = 200,219/x
  3. Step 3: Cross multiply
    355,282.16x = 490,285.68 × 200,219
  4. Step 4: Simplify right side
    355,282.16x = 98,164,508,563.92
  5. Step 5: Solve for x
    x = 98,164,508,563.92/355,282.16
  6. Step 6: Final answer
    x = 276,300.13

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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.