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Finding the Fourth Proportional to 256,305.72, 384,469.05 and 87,941.82

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Solution

The fourth proportional to 256,305.72, 384,469.05 and 87,941.82 is: 131,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,305.72 : 384,469.05 = 87,941.82 : x
  2. Step 2: Convert to fraction form
    256,305.72/384,469.05 = 87,941.82/x
  3. Step 3: Cross multiply
    256,305.72x = 384,469.05 × 87,941.82
  4. Step 4: Simplify right side
    256,305.72x = 33,810,907,990.67
  5. Step 5: Solve for x
    x = 33,810,907,990.67/256,305.72
  6. Step 6: Final answer
    x = 131,916.32

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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.