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Finding the Fourth Proportional to 307,153.88, 460,738.11 and 82,514.60

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Solution

The fourth proportional to 307,153.88, 460,738.11 and 82,514.60 is: 123,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,153.88 : 460,738.11 = 82,514.60 : x
  2. Step 2: Convert to fraction form
    307,153.88/460,738.11 = 82,514.60/x
  3. Step 3: Cross multiply
    307,153.88x = 460,738.11 × 82,514.60
  4. Step 4: Simplify right side
    307,153.88x = 38,017,620,851.41
  5. Step 5: Solve for x
    x = 38,017,620,851.41/307,153.88
  6. Step 6: Final answer
    x = 123,773.86

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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.