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Finding the Fourth Proportional to 278,099.73, 383,749.25 and 170,674.29

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Solution

The fourth proportional to 278,099.73, 383,749.25 and 170,674.29 is: 235,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,099.73 : 383,749.25 = 170,674.29 : x
  2. Step 2: Convert to fraction form
    278,099.73/383,749.25 = 170,674.29/x
  3. Step 3: Cross multiply
    278,099.73x = 383,749.25 × 170,674.29
  4. Step 4: Simplify right side
    278,099.73x = 65,496,129,928.41
  5. Step 5: Solve for x
    x = 65,496,129,928.41/278,099.73
  6. Step 6: Final answer
    x = 235,513.10

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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.