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Finding the Fourth Proportional to 419,589.44, 579,013.28 and 238,277.42

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Solution

The fourth proportional to 419,589.44, 579,013.28 and 238,277.42 is: 328,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,589.44 : 579,013.28 = 238,277.42 : x
  2. Step 2: Convert to fraction form
    419,589.44/579,013.28 = 238,277.42/x
  3. Step 3: Cross multiply
    419,589.44x = 579,013.28 × 238,277.42
  4. Step 4: Simplify right side
    419,589.44x = 137,965,790,504.14
  5. Step 5: Solve for x
    x = 137,965,790,504.14/419,589.44
  6. Step 6: Final answer
    x = 328,811.40

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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.