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Finding the Fourth Proportional to 355,362.90, 490,399.63 and 194,217.91

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Solution

The fourth proportional to 355,362.90, 490,399.63 and 194,217.91 is: 268,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,362.90 : 490,399.63 = 194,217.91 : x
  2. Step 2: Convert to fraction form
    355,362.90/490,399.63 = 194,217.91/x
  3. Step 3: Cross multiply
    355,362.90x = 490,399.63 × 194,217.91
  4. Step 4: Simplify right side
    355,362.90x = 95,244,390,584.31
  5. Step 5: Solve for x
    x = 95,244,390,584.31/355,362.90
  6. Step 6: Final answer
    x = 268,020.07

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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.