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Finding the Fourth Proportional to 383,861.40, 575,057.70 and 206,309.40

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Solution

The fourth proportional to 383,861.40, 575,057.70 and 206,309.40 is: 309,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,861.40 : 575,057.70 = 206,309.40 : x
  2. Step 2: Convert to fraction form
    383,861.40/575,057.70 = 206,309.40/x
  3. Step 3: Cross multiply
    383,861.40x = 575,057.70 × 206,309.40
  4. Step 4: Simplify right side
    383,861.40x = 118,639,809,052.38
  5. Step 5: Solve for x
    x = 118,639,809,052.38/383,861.40
  6. Step 6: Final answer
    x = 309,069.39

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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.