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Finding the Fourth Proportional to 432,811.60, 649,217.40 and 412,144.45

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Solution

The fourth proportional to 432,811.60, 649,217.40 and 412,144.45 is: 618,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,811.60 : 649,217.40 = 412,144.45 : x
  2. Step 2: Convert to fraction form
    432,811.60/649,217.40 = 412,144.45/x
  3. Step 3: Cross multiply
    432,811.60x = 649,217.40 × 412,144.45
  4. Step 4: Simplify right side
    432,811.60x = 267,571,348,253.43
  5. Step 5: Solve for x
    x = 267,571,348,253.43/432,811.60
  6. Step 6: Final answer
    x = 618,216.68

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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.