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Finding the Fourth Proportional to 278,263.72, 417,391.53 and 192,795.76

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Solution

The fourth proportional to 278,263.72, 417,391.53 and 192,795.76 is: 289,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,263.72 : 417,391.53 = 192,795.76 : x
  2. Step 2: Convert to fraction form
    278,263.72/417,391.53 = 192,795.76/x
  3. Step 3: Cross multiply
    278,263.72x = 417,391.53 × 192,795.76
  4. Step 4: Simplify right side
    278,263.72x = 80,471,317,243.91
  5. Step 5: Solve for x
    x = 80,471,317,243.91/278,263.72
  6. Step 6: Final answer
    x = 289,190.83

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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.