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Finding the Fourth Proportional to 427,845.54, 590,435.55 and 255,940.86

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Solution

The fourth proportional to 427,845.54, 590,435.55 and 255,940.86 is: 353,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,845.54 : 590,435.55 = 255,940.86 : x
  2. Step 2: Convert to fraction form
    427,845.54/590,435.55 = 255,940.86/x
  3. Step 3: Cross multiply
    427,845.54x = 590,435.55 × 255,940.86
  4. Step 4: Simplify right side
    427,845.54x = 151,116,582,441.57
  5. Step 5: Solve for x
    x = 151,116,582,441.57/427,845.54
  6. Step 6: Final answer
    x = 353,203.59

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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.