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Finding the Fourth Proportional to 428,186.49, 590,745.86 and 255,984.94

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Solution

The fourth proportional to 428,186.49, 590,745.86 and 255,984.94 is: 353,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,186.49 : 590,745.86 = 255,984.94 : x
  2. Step 2: Convert to fraction form
    428,186.49/590,745.86 = 255,984.94/x
  3. Step 3: Cross multiply
    428,186.49x = 590,745.86 × 255,984.94
  4. Step 4: Simplify right side
    428,186.49x = 151,222,042,247.42
  5. Step 5: Solve for x
    x = 151,222,042,247.42/428,186.49
  6. Step 6: Final answer
    x = 353,168.65

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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.