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Finding the Fourth Proportional to 383,792.80, 575,203.20 and 146,819.20

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Solution

The fourth proportional to 383,792.80, 575,203.20 and 146,819.20 is: 220,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,792.80 : 575,203.20 = 146,819.20 : x
  2. Step 2: Convert to fraction form
    383,792.80/575,203.20 = 146,819.20/x
  3. Step 3: Cross multiply
    383,792.80x = 575,203.20 × 146,819.20
  4. Step 4: Simplify right side
    383,792.80x = 84,450,873,661.44
  5. Step 5: Solve for x
    x = 84,450,873,661.44/383,792.80
  6. Step 6: Final answer
    x = 220,042.88

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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.