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Finding the Fourth Proportional to 305,408, 421,509.12 and 186,245.12

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Solution

The fourth proportional to 305,408, 421,509.12 and 186,245.12 is: 257,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,408 : 421,509.12 = 186,245.12 : x
  2. Step 2: Convert to fraction form
    305,408/421,509.12 = 186,245.12/x
  3. Step 3: Cross multiply
    305,408x = 421,509.12 × 186,245.12
  4. Step 4: Simplify right side
    305,408x = 78,504,016,635.49
  5. Step 5: Solve for x
    x = 78,504,016,635.49/305,408
  6. Step 6: Final answer
    x = 257,046.37

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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.