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Finding the Fourth Proportional to 280,666.38, 420,715.83 and 120,846.54

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Solution

The fourth proportional to 280,666.38, 420,715.83 and 120,846.54 is: 181,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,666.38 : 420,715.83 = 120,846.54 : x
  2. Step 2: Convert to fraction form
    280,666.38/420,715.83 = 120,846.54/x
  3. Step 3: Cross multiply
    280,666.38x = 420,715.83 × 120,846.54
  4. Step 4: Simplify right side
    280,666.38x = 50,842,052,378.73
  5. Step 5: Solve for x
    x = 50,842,052,378.73/280,666.38
  6. Step 6: Final answer
    x = 181,147.64

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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.