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Finding the Fourth Proportional to 384,704.31, 530,912.16 and 231,790.53

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Solution

The fourth proportional to 384,704.31, 530,912.16 and 231,790.53 is: 319,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,704.31 : 530,912.16 = 231,790.53 : x
  2. Step 2: Convert to fraction form
    384,704.31/530,912.16 = 231,790.53/x
  3. Step 3: Cross multiply
    384,704.31x = 530,912.16 × 231,790.53
  4. Step 4: Simplify right side
    384,704.31x = 123,060,410,949.85
  5. Step 5: Solve for x
    x = 123,060,410,949.85/384,704.31
  6. Step 6: Final answer
    x = 319,883.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.