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Finding the Fourth Proportional to 601,629.12, 830,249.16 and 329,653.80

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Solution

The fourth proportional to 601,629.12, 830,249.16 and 329,653.80 is: 454,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,629.12 : 830,249.16 = 329,653.80 : x
  2. Step 2: Convert to fraction form
    601,629.12/830,249.16 = 329,653.80/x
  3. Step 3: Cross multiply
    601,629.12x = 830,249.16 × 329,653.80
  4. Step 4: Simplify right side
    601,629.12x = 273,694,790,540.81
  5. Step 5: Solve for x
    x = 273,694,790,540.81/601,629.12
  6. Step 6: Final answer
    x = 454,922.78

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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.