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Finding the Fourth Proportional to 331,824.80, 497,739.12 and 82,506.80

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Solution

The fourth proportional to 331,824.80, 497,739.12 and 82,506.80 is: 123,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,824.80 : 497,739.12 = 82,506.80 : x
  2. Step 2: Convert to fraction form
    331,824.80/497,739.12 = 82,506.80/x
  3. Step 3: Cross multiply
    331,824.80x = 497,739.12 × 82,506.80
  4. Step 4: Simplify right side
    331,824.80x = 41,066,862,026.02
  5. Step 5: Solve for x
    x = 41,066,862,026.02/331,824.80
  6. Step 6: Final answer
    x = 123,760.68

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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.