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Finding the Fourth Proportional to 278,912.44, 418,715.34 and 277,633.72

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Solution

The fourth proportional to 278,912.44, 418,715.34 and 277,633.72 is: 416,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,912.44 : 418,715.34 = 277,633.72 : x
  2. Step 2: Convert to fraction form
    278,912.44/418,715.34 = 277,633.72/x
  3. Step 3: Cross multiply
    278,912.44x = 418,715.34 × 277,633.72
  4. Step 4: Simplify right side
    278,912.44x = 116,249,497,465.27
  5. Step 5: Solve for x
    x = 116,249,497,465.27/278,912.44
  6. Step 6: Final answer
    x = 416,795.67

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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.