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Finding the Fourth Proportional to 355,945.04, 491,197.56 and 194,796.80

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Solution

The fourth proportional to 355,945.04, 491,197.56 and 194,796.80 is: 268,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,945.04 : 491,197.56 = 194,796.80 : x
  2. Step 2: Convert to fraction form
    355,945.04/491,197.56 = 194,796.80/x
  3. Step 3: Cross multiply
    355,945.04x = 491,197.56 × 194,796.80
  4. Step 4: Simplify right side
    355,945.04x = 95,683,712,855.81
  5. Step 5: Solve for x
    x = 95,683,712,855.81/355,945.04
  6. Step 6: Final answer
    x = 268,815.97

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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.