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Finding the Fourth Proportional to 355,364.78, 490,402.22 and 194,219.78

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Solution

The fourth proportional to 355,364.78, 490,402.22 and 194,219.78 is: 268,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,364.78 : 490,402.22 = 194,219.78 : x
  2. Step 2: Convert to fraction form
    355,364.78/490,402.22 = 194,219.78/x
  3. Step 3: Cross multiply
    355,364.78x = 490,402.22 × 194,219.78
  4. Step 4: Simplify right side
    355,364.78x = 95,245,811,534.82
  5. Step 5: Solve for x
    x = 95,245,811,534.82/355,364.78
  6. Step 6: Final answer
    x = 268,022.65

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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.