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Finding the Fourth Proportional to 305,289.44, 457,882.32 and 80,652.32

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Solution

The fourth proportional to 305,289.44, 457,882.32 and 80,652.32 is: 120,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,289.44 : 457,882.32 = 80,652.32 : x
  2. Step 2: Convert to fraction form
    305,289.44/457,882.32 = 80,652.32/x
  3. Step 3: Cross multiply
    305,289.44x = 457,882.32 × 80,652.32
  4. Step 4: Simplify right side
    305,289.44x = 36,929,271,394.98
  5. Step 5: Solve for x
    x = 36,929,271,394.98/305,289.44
  6. Step 6: Final answer
    x = 120,964.78

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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.