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Finding the Fourth Proportional to 421,957.76, 632,936.62 and 126,469.76

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Solution

The fourth proportional to 421,957.76, 632,936.62 and 126,469.76 is: 189,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,957.76 : 632,936.62 = 126,469.76 : x
  2. Step 2: Convert to fraction form
    421,957.76/632,936.62 = 126,469.76/x
  3. Step 3: Cross multiply
    421,957.76x = 632,936.62 × 126,469.76
  4. Step 4: Simplify right side
    421,957.76x = 80,047,342,426.61
  5. Step 5: Solve for x
    x = 80,047,342,426.61/421,957.76
  6. Step 6: Final answer
    x = 189,704.63

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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.