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Finding the Fourth Proportional to 358,100, 494,181.28 and 194,758

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Solution

The fourth proportional to 358,100, 494,181.28 and 194,758 is: 268,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,100 : 494,181.28 = 194,758 : x
  2. Step 2: Convert to fraction form
    358,100/494,181.28 = 194,758/x
  3. Step 3: Cross multiply
    358,100x = 494,181.28 × 194,758
  4. Step 4: Simplify right side
    358,100x = 96,245,757,730.24
  5. Step 5: Solve for x
    x = 96,245,757,730.24/358,100
  6. Step 6: Final answer
    x = 268,767.82

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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.