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Finding the Fourth Proportional to 305,013.37, 457,523.16 and 80,406.04

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Solution

The fourth proportional to 305,013.37, 457,523.16 and 80,406.04 is: 120,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,013.37 : 457,523.16 = 80,406.04 : x
  2. Step 2: Convert to fraction form
    305,013.37/457,523.16 = 80,406.04/x
  3. Step 3: Cross multiply
    305,013.37x = 457,523.16 × 80,406.04
  4. Step 4: Simplify right side
    305,013.37x = 36,787,625,503.89
  5. Step 5: Solve for x
    x = 36,787,625,503.89/305,013.37
  6. Step 6: Final answer
    x = 120,609.88

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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.