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Finding the Fourth Proportional to 303,882.96, 418,968.72 and 208,223.58

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Solution

The fourth proportional to 303,882.96, 418,968.72 and 208,223.58 is: 287,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,882.96 : 418,968.72 = 208,223.58 : x
  2. Step 2: Convert to fraction form
    303,882.96/418,968.72 = 208,223.58/x
  3. Step 3: Cross multiply
    303,882.96x = 418,968.72 × 208,223.58
  4. Step 4: Simplify right side
    303,882.96x = 87,239,166,786.42
  5. Step 5: Solve for x
    x = 87,239,166,786.42/303,882.96
  6. Step 6: Final answer
    x = 287,081.47

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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.