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Finding the Fourth Proportional to 256,489.56, 384,865.56 and 116,229.96

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Solution

The fourth proportional to 256,489.56, 384,865.56 and 116,229.96 is: 174,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,489.56 : 384,865.56 = 116,229.96 : x
  2. Step 2: Convert to fraction form
    256,489.56/384,865.56 = 116,229.96/x
  3. Step 3: Cross multiply
    256,489.56x = 384,865.56 × 116,229.96
  4. Step 4: Simplify right side
    256,489.56x = 44,732,908,644.18
  5. Step 5: Solve for x
    x = 44,732,908,644.18/256,489.56
  6. Step 6: Final answer
    x = 174,404.40

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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.