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Finding the Fourth Proportional to 383,880.60, 575,820.83 and 206,143.11

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Solution

The fourth proportional to 383,880.60, 575,820.83 and 206,143.11 is: 309,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,880.60 : 575,820.83 = 206,143.11 : x
  2. Step 2: Convert to fraction form
    383,880.60/575,820.83 = 206,143.11/x
  3. Step 3: Cross multiply
    383,880.60x = 575,820.83 × 206,143.11
  4. Step 4: Simplify right side
    383,880.60x = 118,701,497,214.34
  5. Step 5: Solve for x
    x = 118,701,497,214.34/383,880.60
  6. Step 6: Final answer
    x = 309,214.63

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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.