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Finding the Fourth Proportional to 419,556.70, 579,274.50 and 322,589.98

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Solution

The fourth proportional to 419,556.70, 579,274.50 and 322,589.98 is: 445,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,556.70 : 579,274.50 = 322,589.98 : x
  2. Step 2: Convert to fraction form
    419,556.70/579,274.50 = 322,589.98/x
  3. Step 3: Cross multiply
    419,556.70x = 579,274.50 × 322,589.98
  4. Step 4: Simplify right side
    419,556.70x = 186,868,149,369.51
  5. Step 5: Solve for x
    x = 186,868,149,369.51/419,556.70
  6. Step 6: Final answer
    x = 445,394.27

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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.