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Finding the Fourth Proportional to 412,992.81, 619,357.95 and 280,723.05

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Solution

The fourth proportional to 412,992.81, 619,357.95 and 280,723.05 is: 420,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992.81 : 619,357.95 = 280,723.05 : x
  2. Step 2: Convert to fraction form
    412,992.81/619,357.95 = 280,723.05/x
  3. Step 3: Cross multiply
    412,992.81x = 619,357.95 × 280,723.05
  4. Step 4: Simplify right side
    412,992.81x = 173,868,052,765.75
  5. Step 5: Solve for x
    x = 173,868,052,765.75/412,992.81
  6. Step 6: Final answer
    x = 420,995.35

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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.