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Finding the Fourth Proportional to 408,249.92, 612,388.55 and 313,623.90

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Solution

The fourth proportional to 408,249.92, 612,388.55 and 313,623.90 is: 470,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,249.92 : 612,388.55 = 313,623.90 : x
  2. Step 2: Convert to fraction form
    408,249.92/612,388.55 = 313,623.90/x
  3. Step 3: Cross multiply
    408,249.92x = 612,388.55 × 313,623.90
  4. Step 4: Simplify right side
    408,249.92x = 192,059,686,150.41
  5. Step 5: Solve for x
    x = 192,059,686,150.41/408,249.92
  6. Step 6: Final answer
    x = 470,446.35

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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.