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Finding the Fourth Proportional to 493,198.72, 680,564.64 and 278,326

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Solution

The fourth proportional to 493,198.72, 680,564.64 and 278,326 is: 384,061.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,198.72 : 680,564.64 = 278,326 : x
  2. Step 2: Convert to fraction form
    493,198.72/680,564.64 = 278,326/x
  3. Step 3: Cross multiply
    493,198.72x = 680,564.64 × 278,326
  4. Step 4: Simplify right side
    493,198.72x = 189,418,833,992.64
  5. Step 5: Solve for x
    x = 189,418,833,992.64/493,198.72
  6. Step 6: Final answer
    x = 384,061.89

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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.