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Finding the Fourth Proportional to 421,704.20, 632,642.70 and 141,422.60

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Solution

The fourth proportional to 421,704.20, 632,642.70 and 141,422.60 is: 212,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,704.20 : 632,642.70 = 141,422.60 : x
  2. Step 2: Convert to fraction form
    421,704.20/632,642.70 = 141,422.60/x
  3. Step 3: Cross multiply
    421,704.20x = 632,642.70 × 141,422.60
  4. Step 4: Simplify right side
    421,704.20x = 89,469,975,505.02
  5. Step 5: Solve for x
    x = 89,469,975,505.02/421,704.20
  6. Step 6: Final answer
    x = 212,162.88

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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.