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Finding the Fourth Proportional to 499,915.38, 749,869.46 and 200,391.60

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Solution

The fourth proportional to 499,915.38, 749,869.46 and 200,391.60 is: 300,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,915.38 : 749,869.46 = 200,391.60 : x
  2. Step 2: Convert to fraction form
    499,915.38/749,869.46 = 200,391.60/x
  3. Step 3: Cross multiply
    499,915.38x = 749,869.46 × 200,391.60
  4. Step 4: Simplify right side
    499,915.38x = 150,267,540,880.54
  5. Step 5: Solve for x
    x = 150,267,540,880.54/499,915.38
  6. Step 6: Final answer
    x = 300,585.95

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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.