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Finding the Fourth Proportional to 298,993.86, 448,700.97 and 270,408.15

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Solution

The fourth proportional to 298,993.86, 448,700.97 and 270,408.15 is: 405,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,993.86 : 448,700.97 = 270,408.15 : x
  2. Step 2: Convert to fraction form
    298,993.86/448,700.97 = 270,408.15/x
  3. Step 3: Cross multiply
    298,993.86x = 448,700.97 × 270,408.15
  4. Step 4: Simplify right side
    298,993.86x = 121,332,399,200.91
  5. Step 5: Solve for x
    x = 121,332,399,200.91/298,993.86
  6. Step 6: Final answer
    x = 405,802.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.