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Finding the Fourth Proportional to 331,810.88, 497,718.20 and 82,492.88

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Solution

The fourth proportional to 331,810.88, 497,718.20 and 82,492.88 is: 123,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,810.88 : 497,718.20 = 82,492.88 : x
  2. Step 2: Convert to fraction form
    331,810.88/497,718.20 = 82,492.88/x
  3. Step 3: Cross multiply
    331,810.88x = 497,718.20 × 82,492.88
  4. Step 4: Simplify right side
    331,810.88x = 41,058,205,464.06
  5. Step 5: Solve for x
    x = 41,058,205,464.06/331,810.88
  6. Step 6: Final answer
    x = 123,739.78

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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.