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Finding the Fourth Proportional to 383,894.40, 575,107.20 and 206,342.40

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Solution

The fourth proportional to 383,894.40, 575,107.20 and 206,342.40 is: 309,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,894.40 : 575,107.20 = 206,342.40 : x
  2. Step 2: Convert to fraction form
    383,894.40/575,107.20 = 206,342.40/x
  3. Step 3: Cross multiply
    383,894.40x = 575,107.20 × 206,342.40
  4. Step 4: Simplify right side
    383,894.40x = 118,668,999,905.28
  5. Step 5: Solve for x
    x = 118,668,999,905.28/383,894.40
  6. Step 6: Final answer
    x = 309,118.86

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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.