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Finding the Fourth Proportional to 446,662.86, 670,062.33 and 278,046.78

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Solution

The fourth proportional to 446,662.86, 670,062.33 and 278,046.78 is: 417,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,662.86 : 670,062.33 = 278,046.78 : x
  2. Step 2: Convert to fraction form
    446,662.86/670,062.33 = 278,046.78/x
  3. Step 3: Cross multiply
    446,662.86x = 670,062.33 × 278,046.78
  4. Step 4: Simplify right side
    446,662.86x = 186,308,673,255.80
  5. Step 5: Solve for x
    x = 186,308,673,255.80/446,662.86
  6. Step 6: Final answer
    x = 417,112.52

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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.