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Finding the Fourth Proportional to 493,568.91, 680,778.68 and 340,668.45

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Solution

The fourth proportional to 493,568.91, 680,778.68 and 340,668.45 is: 469,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,568.91 : 680,778.68 = 340,668.45 : x
  2. Step 2: Convert to fraction form
    493,568.91/680,778.68 = 340,668.45/x
  3. Step 3: Cross multiply
    493,568.91x = 680,778.68 × 340,668.45
  4. Step 4: Simplify right side
    493,568.91x = 231,919,816,005.30
  5. Step 5: Solve for x
    x = 231,919,816,005.30/493,568.91
  6. Step 6: Final answer
    x = 469,883.36

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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.