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Finding the Fourth Proportional to 306,992, 460,750.44 and 120,134.72

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Solution

The fourth proportional to 306,992, 460,750.44 and 120,134.72 is: 180,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,992 : 460,750.44 = 120,134.72 : x
  2. Step 2: Convert to fraction form
    306,992/460,750.44 = 120,134.72/x
  3. Step 3: Cross multiply
    306,992x = 460,750.44 × 120,134.72
  4. Step 4: Simplify right side
    306,992x = 55,352,125,099.28
  5. Step 5: Solve for x
    x = 55,352,125,099.28/306,992
  6. Step 6: Final answer
    x = 180,304.78

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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.