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Finding the Fourth Proportional to 355,771.83, 490,969.01 and 194,623.42

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Solution

The fourth proportional to 355,771.83, 490,969.01 and 194,623.42 is: 268,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,771.83 : 490,969.01 = 194,623.42 : x
  2. Step 2: Convert to fraction form
    355,771.83/490,969.01 = 194,623.42/x
  3. Step 3: Cross multiply
    355,771.83x = 490,969.01 × 194,623.42
  4. Step 4: Simplify right side
    355,771.83x = 95,554,068,204.16
  5. Step 5: Solve for x
    x = 95,554,068,204.16/355,771.83
  6. Step 6: Final answer
    x = 268,582.44

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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.