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Finding the Fourth Proportional to 305,325, 421,348.68 and 186,093

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Solution

The fourth proportional to 305,325, 421,348.68 and 186,093 is: 256,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,325 : 421,348.68 = 186,093 : x
  2. Step 2: Convert to fraction form
    305,325/421,348.68 = 186,093/x
  3. Step 3: Cross multiply
    305,325x = 421,348.68 × 186,093
  4. Step 4: Simplify right side
    305,325x = 78,410,039,907.24
  5. Step 5: Solve for x
    x = 78,410,039,907.24/305,325
  6. Step 6: Final answer
    x = 256,808.45

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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.