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Finding the Fourth Proportional to 305,736.40, 457,697.40 and 227,198.80

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Solution

The fourth proportional to 305,736.40, 457,697.40 and 227,198.80 is: 340,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,736.40 : 457,697.40 = 227,198.80 : x
  2. Step 2: Convert to fraction form
    305,736.40/457,697.40 = 227,198.80/x
  3. Step 3: Cross multiply
    305,736.40x = 457,697.40 × 227,198.80
  4. Step 4: Simplify right side
    305,736.40x = 103,988,300,043.12
  5. Step 5: Solve for x
    x = 103,988,300,043.12/305,736.40
  6. Step 6: Final answer
    x = 340,124.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.