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Finding the Fourth Proportional to 305,563.20, 421,727.76 and 178,238.67

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Solution

The fourth proportional to 305,563.20, 421,727.76 and 178,238.67 is: 245,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,563.20 : 421,727.76 = 178,238.67 : x
  2. Step 2: Convert to fraction form
    305,563.20/421,727.76 = 178,238.67/x
  3. Step 3: Cross multiply
    305,563.20x = 421,727.76 × 178,238.67
  4. Step 4: Simplify right side
    305,563.20x = 75,168,195,044.48
  5. Step 5: Solve for x
    x = 75,168,195,044.48/305,563.20
  6. Step 6: Final answer
    x = 245,998.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.