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Finding the Fourth Proportional to 383,845.80, 575,282.70 and 146,872.20

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Solution

The fourth proportional to 383,845.80, 575,282.70 and 146,872.20 is: 220,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,845.80 : 575,282.70 = 146,872.20 : x
  2. Step 2: Convert to fraction form
    383,845.80/575,282.70 = 146,872.20/x
  3. Step 3: Cross multiply
    383,845.80x = 575,282.70 × 146,872.20
  4. Step 4: Simplify right side
    383,845.80x = 84,493,035,770.94
  5. Step 5: Solve for x
    x = 84,493,035,770.94/383,845.80
  6. Step 6: Final answer
    x = 220,122.34

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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.