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Finding the Fourth Proportional to 382,701.42, 574,039.37 and 205,554.42

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Solution

The fourth proportional to 382,701.42, 574,039.37 and 205,554.42 is: 308,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,701.42 : 574,039.37 = 205,554.42 : x
  2. Step 2: Convert to fraction form
    382,701.42/574,039.37 = 205,554.42/x
  3. Step 3: Cross multiply
    382,701.42x = 574,039.37 × 205,554.42
  4. Step 4: Simplify right side
    382,701.42x = 117,996,330,271.40
  5. Step 5: Solve for x
    x = 117,996,330,271.40/382,701.42
  6. Step 6: Final answer
    x = 308,324.78

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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.