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Finding the Fourth Proportional to 253,464.67, 380,689.08 and 186,640.89

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Solution

The fourth proportional to 253,464.67, 380,689.08 and 186,640.89 is: 280,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,464.67 : 380,689.08 = 186,640.89 : x
  2. Step 2: Convert to fraction form
    253,464.67/380,689.08 = 186,640.89/x
  3. Step 3: Cross multiply
    253,464.67x = 380,689.08 × 186,640.89
  4. Step 4: Simplify right side
    253,464.67x = 71,052,147,626.85
  5. Step 5: Solve for x
    x = 71,052,147,626.85/253,464.67
  6. Step 6: Final answer
    x = 280,323.67

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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.