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Finding the Fourth Proportional to 305,311.54, 421,380.38 and 169,389.27

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Solution

The fourth proportional to 305,311.54, 421,380.38 and 169,389.27 is: 233,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,311.54 : 421,380.38 = 169,389.27 : x
  2. Step 2: Convert to fraction form
    305,311.54/421,380.38 = 169,389.27/x
  3. Step 3: Cross multiply
    305,311.54x = 421,380.38 × 169,389.27
  4. Step 4: Simplify right side
    305,311.54x = 71,377,312,853.62
  5. Step 5: Solve for x
    x = 71,377,312,853.62/305,311.54
  6. Step 6: Final answer
    x = 233,785.18

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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.