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Finding the Fourth Proportional to 432,613.90, 648,912.31 and 129,213.54

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Solution

The fourth proportional to 432,613.90, 648,912.31 and 129,213.54 is: 193,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,613.90 : 648,912.31 = 129,213.54 : x
  2. Step 2: Convert to fraction form
    432,613.90/648,912.31 = 129,213.54/x
  3. Step 3: Cross multiply
    432,613.90x = 648,912.31 × 129,213.54
  4. Step 4: Simplify right side
    432,613.90x = 83,848,252,834.05
  5. Step 5: Solve for x
    x = 83,848,252,834.05/432,613.90
  6. Step 6: Final answer
    x = 193,817.75

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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.