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Finding the Fourth Proportional to 355,771.90, 490,969.09 and 194,623.49

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Solution

The fourth proportional to 355,771.90, 490,969.09 and 194,623.49 is: 268,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,771.90 : 490,969.09 = 194,623.49 : x
  2. Step 2: Convert to fraction form
    355,771.90/490,969.09 = 194,623.49/x
  3. Step 3: Cross multiply
    355,771.90x = 490,969.09 × 194,623.49
  4. Step 4: Simplify right side
    355,771.90x = 95,554,115,688.00
  5. Step 5: Solve for x
    x = 95,554,115,688.00/355,771.90
  6. Step 6: Final answer
    x = 268,582.53

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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.