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Finding the Fourth Proportional to 305,674.81, 458,485.04 and 105,990.73

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Solution

The fourth proportional to 305,674.81, 458,485.04 and 105,990.73 is: 158,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,674.81 : 458,485.04 = 105,990.73 : x
  2. Step 2: Convert to fraction form
    305,674.81/458,485.04 = 105,990.73/x
  3. Step 3: Cross multiply
    305,674.81x = 458,485.04 × 105,990.73
  4. Step 4: Simplify right side
    305,674.81x = 48,595,163,553.73
  5. Step 5: Solve for x
    x = 48,595,163,553.73/305,674.81
  6. Step 6: Final answer
    x = 158,976.67

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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.