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Finding the Fourth Proportional to 355,805.18, 491,188.83 and 204,873.02

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Solution

The fourth proportional to 355,805.18, 491,188.83 and 204,873.02 is: 282,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,805.18 : 491,188.83 = 204,873.02 : x
  2. Step 2: Convert to fraction form
    355,805.18/491,188.83 = 204,873.02/x
  3. Step 3: Cross multiply
    355,805.18x = 491,188.83 × 204,873.02
  4. Step 4: Simplify right side
    355,805.18x = 100,631,338,992.37
  5. Step 5: Solve for x
    x = 100,631,338,992.37/355,805.18
  6. Step 6: Final answer
    x = 282,827.08

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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.