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Finding the Fourth Proportional to 432,563.28, 648,647.12 and 132,939.44

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Solution

The fourth proportional to 432,563.28, 648,647.12 and 132,939.44 is: 199,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,563.28 : 648,647.12 = 132,939.44 : x
  2. Step 2: Convert to fraction form
    432,563.28/648,647.12 = 132,939.44/x
  3. Step 3: Cross multiply
    432,563.28x = 648,647.12 × 132,939.44
  4. Step 4: Simplify right side
    432,563.28x = 86,230,784,890.41
  5. Step 5: Solve for x
    x = 86,230,784,890.41/432,563.28
  6. Step 6: Final answer
    x = 199,348.37

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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.