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Finding the Fourth Proportional to 278,173.72, 383,879.94 and 150,849.28

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Solution

The fourth proportional to 278,173.72, 383,879.94 and 150,849.28 is: 208,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,173.72 : 383,879.94 = 150,849.28 : x
  2. Step 2: Convert to fraction form
    278,173.72/383,879.94 = 150,849.28/x
  3. Step 3: Cross multiply
    278,173.72x = 383,879.94 × 150,849.28
  4. Step 4: Simplify right side
    278,173.72x = 57,908,012,555.44
  5. Step 5: Solve for x
    x = 57,908,012,555.44/278,173.72
  6. Step 6: Final answer
    x = 208,172.12

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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.