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Finding the Fourth Proportional to 383,106.94, 574,660.41 and 133,783.42

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Solution

The fourth proportional to 383,106.94, 574,660.41 and 133,783.42 is: 200,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,106.94 : 574,660.41 = 133,783.42 : x
  2. Step 2: Convert to fraction form
    383,106.94/574,660.41 = 133,783.42/x
  3. Step 3: Cross multiply
    383,106.94x = 574,660.41 × 133,783.42
  4. Step 4: Simplify right side
    383,106.94x = 76,880,034,988.40
  5. Step 5: Solve for x
    x = 76,880,034,988.40/383,106.94
  6. Step 6: Final answer
    x = 200,675.13

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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.