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Finding the Fourth Proportional to 428,410.40, 642,615.60 and 408,135.20

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Solution

The fourth proportional to 428,410.40, 642,615.60 and 408,135.20 is: 612,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,410.40 : 642,615.60 = 408,135.20 : x
  2. Step 2: Convert to fraction form
    428,410.40/642,615.60 = 408,135.20/x
  3. Step 3: Cross multiply
    428,410.40x = 642,615.60 × 408,135.20
  4. Step 4: Simplify right side
    428,410.40x = 262,274,046,429.12
  5. Step 5: Solve for x
    x = 262,274,046,429.12/428,410.40
  6. Step 6: Final answer
    x = 612,202.80

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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.