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Finding the Fourth Proportional to 432,801.60, 649,202.40 and 412,134.45

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Solution

The fourth proportional to 432,801.60, 649,202.40 and 412,134.45 is: 618,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,801.60 : 649,202.40 = 412,134.45 : x
  2. Step 2: Convert to fraction form
    432,801.60/649,202.40 = 412,134.45/x
  3. Step 3: Cross multiply
    432,801.60x = 649,202.40 × 412,134.45
  4. Step 4: Simplify right side
    432,801.60x = 267,558,674,062.68
  5. Step 5: Solve for x
    x = 267,558,674,062.68/432,801.60
  6. Step 6: Final answer
    x = 618,201.68

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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.