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Finding the Fourth Proportional to 278,262.68, 417,390.78 and 192,794.72

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Solution

The fourth proportional to 278,262.68, 417,390.78 and 192,794.72 is: 289,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,262.68 : 417,390.78 = 192,794.72 : x
  2. Step 2: Convert to fraction form
    278,262.68/417,390.78 = 192,794.72/x
  3. Step 3: Cross multiply
    278,262.68x = 417,390.78 × 192,794.72
  4. Step 4: Simplify right side
    278,262.68x = 80,470,738,560.68
  5. Step 5: Solve for x
    x = 80,470,738,560.68/278,262.68
  6. Step 6: Final answer
    x = 289,189.84

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1.5x scale

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.