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Finding the Fourth Proportional to 383,820.40, 574,996.20 and 206,268.40

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Solution

The fourth proportional to 383,820.40, 574,996.20 and 206,268.40 is: 309,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,820.40 : 574,996.20 = 206,268.40 : x
  2. Step 2: Convert to fraction form
    383,820.40/574,996.20 = 206,268.40/x
  3. Step 3: Cross multiply
    383,820.40x = 574,996.20 × 206,268.40
  4. Step 4: Simplify right side
    383,820.40x = 118,603,546,180.08
  5. Step 5: Solve for x
    x = 118,603,546,180.08/383,820.40
  6. Step 6: Final answer
    x = 309,007.93

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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.