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Finding the Fourth Proportional to 458,524.77, 687,786.69 and 300,716.31

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Solution

The fourth proportional to 458,524.77, 687,786.69 and 300,716.31 is: 451,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,524.77 : 687,786.69 = 300,716.31 : x
  2. Step 2: Convert to fraction form
    458,524.77/687,786.69 = 300,716.31/x
  3. Step 3: Cross multiply
    458,524.77x = 687,786.69 × 300,716.31
  4. Step 4: Simplify right side
    458,524.77x = 206,828,679,190.80
  5. Step 5: Solve for x
    x = 206,828,679,190.80/458,524.77
  6. Step 6: Final answer
    x = 451,074.17

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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.