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Finding the Fourth Proportional to 355,130.75, 490,095.06 and 204,227.75

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Solution

The fourth proportional to 355,130.75, 490,095.06 and 204,227.75 is: 281,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,130.75 : 490,095.06 = 204,227.75 : x
  2. Step 2: Convert to fraction form
    355,130.75/490,095.06 = 204,227.75/x
  3. Step 3: Cross multiply
    355,130.75x = 490,095.06 × 204,227.75
  4. Step 4: Simplify right side
    355,130.75x = 100,091,011,389.92
  5. Step 5: Solve for x
    x = 100,091,011,389.92/355,130.75
  6. Step 6: Final answer
    x = 281,842.71

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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.