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Finding the Fourth Proportional to 383,818.40, 574,993.20 and 206,266.40

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Solution

The fourth proportional to 383,818.40, 574,993.20 and 206,266.40 is: 309,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,818.40 : 574,993.20 = 206,266.40 : x
  2. Step 2: Convert to fraction form
    383,818.40/574,993.20 = 206,266.40/x
  3. Step 3: Cross multiply
    383,818.40x = 574,993.20 × 206,266.40
  4. Step 4: Simplify right side
    383,818.40x = 118,601,777,388.48
  5. Step 5: Solve for x
    x = 118,601,777,388.48/383,818.40
  6. Step 6: Final answer
    x = 309,004.93

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1.5x scale

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.