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Finding the Fourth Proportional to 322,611.30, 482,932.80 and 287,181.90

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Solution

The fourth proportional to 322,611.30, 482,932.80 and 287,181.90 is: 429,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,611.30 : 482,932.80 = 287,181.90 : x
  2. Step 2: Convert to fraction form
    322,611.30/482,932.80 = 287,181.90/x
  3. Step 3: Cross multiply
    322,611.30x = 482,932.80 × 287,181.90
  4. Step 4: Simplify right side
    322,611.30x = 138,689,559,076.32
  5. Step 5: Solve for x
    x = 138,689,559,076.32/322,611.30
  6. Step 6: Final answer
    x = 429,896.78

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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.