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Finding the Fourth Proportional to 355,852, 491,082 and 194,721.16

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Solution

The fourth proportional to 355,852, 491,082 and 194,721.16 is: 268,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,852 : 491,082 = 194,721.16 : x
  2. Step 2: Convert to fraction form
    355,852/491,082 = 194,721.16/x
  3. Step 3: Cross multiply
    355,852x = 491,082 × 194,721.16
  4. Step 4: Simplify right side
    355,852x = 95,624,056,695.12
  5. Step 5: Solve for x
    x = 95,624,056,695.12/355,852
  6. Step 6: Final answer
    x = 268,718.62

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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.