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Finding the Fourth Proportional to 305,311.79, 421,380.73 and 169,389.52

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Solution

The fourth proportional to 305,311.79, 421,380.73 and 169,389.52 is: 233,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,311.79 : 421,380.73 = 169,389.52 : x
  2. Step 2: Convert to fraction form
    305,311.79/421,380.73 = 169,389.52/x
  3. Step 3: Cross multiply
    305,311.79x = 421,380.73 × 169,389.52
  4. Step 4: Simplify right side
    305,311.79x = 71,377,477,485.05
  5. Step 5: Solve for x
    x = 71,377,477,485.05/305,311.79
  6. Step 6: Final answer
    x = 233,785.53

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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.