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Finding the Fourth Proportional to 383,676.30, 576,205.65 and 278,613.90

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Solution

The fourth proportional to 383,676.30, 576,205.65 and 278,613.90 is: 418,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,676.30 : 576,205.65 = 278,613.90 : x
  2. Step 2: Convert to fraction form
    383,676.30/576,205.65 = 278,613.90/x
  3. Step 3: Cross multiply
    383,676.30x = 576,205.65 × 278,613.90
  4. Step 4: Simplify right side
    383,676.30x = 160,538,903,348.54
  5. Step 5: Solve for x
    x = 160,538,903,348.54/383,676.30
  6. Step 6: Final answer
    x = 418,422.78

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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.