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Finding the Fourth Proportional to 278,138.70, 383,829.27 and 150,813.90

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Solution

The fourth proportional to 278,138.70, 383,829.27 and 150,813.90 is: 208,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138.70 : 383,829.27 = 150,813.90 : x
  2. Step 2: Convert to fraction form
    278,138.70/383,829.27 = 150,813.90/x
  3. Step 3: Cross multiply
    278,138.70x = 383,829.27 × 150,813.90
  4. Step 4: Simplify right side
    278,138.70x = 57,886,789,142.85
  5. Step 5: Solve for x
    x = 57,886,789,142.85/278,138.70
  6. Step 6: Final answer
    x = 208,122.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.