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Finding the Fourth Proportional to 383,451.72, 575,440.02 and 206,013.12

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Solution

The fourth proportional to 383,451.72, 575,440.02 and 206,013.12 is: 309,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,451.72 : 575,440.02 = 206,013.12 : x
  2. Step 2: Convert to fraction form
    383,451.72/575,440.02 = 206,013.12/x
  3. Step 3: Cross multiply
    383,451.72x = 575,440.02 × 206,013.12
  4. Step 4: Simplify right side
    383,451.72x = 118,548,193,893.06
  5. Step 5: Solve for x
    x = 118,548,193,893.06/383,451.72
  6. Step 6: Final answer
    x = 309,160.68

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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.