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Finding the Fourth Proportional to 355,063.50, 490,002.21 and 204,160.50

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Solution

The fourth proportional to 355,063.50, 490,002.21 and 204,160.50 is: 281,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,063.50 : 490,002.21 = 204,160.50 : x
  2. Step 2: Convert to fraction form
    355,063.50/490,002.21 = 204,160.50/x
  3. Step 3: Cross multiply
    355,063.50x = 490,002.21 × 204,160.50
  4. Step 4: Simplify right side
    355,063.50x = 100,039,096,194.71
  5. Step 5: Solve for x
    x = 100,039,096,194.71/355,063.50
  6. Step 6: Final answer
    x = 281,749.87

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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.