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Finding the Fourth Proportional to 331,625.88, 497,438.82 and 82,307.88

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Solution

The fourth proportional to 331,625.88, 497,438.82 and 82,307.88 is: 123,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,625.88 : 497,438.82 = 82,307.88 : x
  2. Step 2: Convert to fraction form
    331,625.88/497,438.82 = 82,307.88/x
  3. Step 3: Cross multiply
    331,625.88x = 497,438.82 × 82,307.88
  4. Step 4: Simplify right side
    331,625.88x = 40,943,134,703.90
  5. Step 5: Solve for x
    x = 40,943,134,703.90/331,625.88
  6. Step 6: Final answer
    x = 123,461.82

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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.