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Finding the Fourth Proportional to 331,474, 497,211.06 and 109,858

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Solution

The fourth proportional to 331,474, 497,211.06 and 109,858 is: 164,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,474 : 497,211.06 = 109,858 : x
  2. Step 2: Convert to fraction form
    331,474/497,211.06 = 109,858/x
  3. Step 3: Cross multiply
    331,474x = 497,211.06 × 109,858
  4. Step 4: Simplify right side
    331,474x = 54,622,612,629.48
  5. Step 5: Solve for x
    x = 54,622,612,629.48/331,474
  6. Step 6: Final answer
    x = 164,787.02

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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.