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Finding the Fourth Proportional to 383,084.40, 574,429.74 and 205,740.56

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Solution

The fourth proportional to 383,084.40, 574,429.74 and 205,740.56 is: 308,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,084.40 : 574,429.74 = 205,740.56 : x
  2. Step 2: Convert to fraction form
    383,084.40/574,429.74 = 205,740.56/x
  3. Step 3: Cross multiply
    383,084.40x = 574,429.74 × 205,740.56
  4. Step 4: Simplify right side
    383,084.40x = 118,183,496,388.25
  5. Step 5: Solve for x
    x = 118,183,496,388.25/383,084.40
  6. Step 6: Final answer
    x = 308,505.11

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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.