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Finding the Fourth Proportional to 428,722.56, 591,652.80 and 321,102.72

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Solution

The fourth proportional to 428,722.56, 591,652.80 and 321,102.72 is: 443,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,722.56 : 591,652.80 = 321,102.72 : x
  2. Step 2: Convert to fraction form
    428,722.56/591,652.80 = 321,102.72/x
  3. Step 3: Cross multiply
    428,722.56x = 591,652.80 × 321,102.72
  4. Step 4: Simplify right side
    428,722.56x = 189,981,323,375.62
  5. Step 5: Solve for x
    x = 189,981,323,375.62/428,722.56
  6. Step 6: Final answer
    x = 443,133.49

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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.