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Finding the Fourth Proportional to 493,396.57, 680,900.53 and 299,738.39

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Solution

The fourth proportional to 493,396.57, 680,900.53 and 299,738.39 is: 413,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,396.57 : 680,900.53 = 299,738.39 : x
  2. Step 2: Convert to fraction form
    493,396.57/680,900.53 = 299,738.39/x
  3. Step 3: Cross multiply
    493,396.57x = 680,900.53 × 299,738.39
  4. Step 4: Simplify right side
    493,396.57x = 204,092,028,612.35
  5. Step 5: Solve for x
    x = 204,092,028,612.35/493,396.57
  6. Step 6: Final answer
    x = 413,647.04

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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.