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Finding the Fourth Proportional to 437,611.20, 656,416.80 and 408,086.70

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Solution

The fourth proportional to 437,611.20, 656,416.80 and 408,086.70 is: 612,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,611.20 : 656,416.80 = 408,086.70 : x
  2. Step 2: Convert to fraction form
    437,611.20/656,416.80 = 408,086.70/x
  3. Step 3: Cross multiply
    437,611.20x = 656,416.80 × 408,086.70
  4. Step 4: Simplify right side
    437,611.20x = 267,874,965,736.56
  5. Step 5: Solve for x
    x = 267,874,965,736.56/437,611.20
  6. Step 6: Final answer
    x = 612,130.05

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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.