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Finding the Fourth Proportional to 408,786.56, 612,957.48 and 142,475.60

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Solution

The fourth proportional to 408,786.56, 612,957.48 and 142,475.60 is: 213,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,786.56 : 612,957.48 = 142,475.60 : x
  2. Step 2: Convert to fraction form
    408,786.56/612,957.48 = 142,475.60/x
  3. Step 3: Cross multiply
    408,786.56x = 612,957.48 × 142,475.60
  4. Step 4: Simplify right side
    408,786.56x = 87,331,484,737.49
  5. Step 5: Solve for x
    x = 87,331,484,737.49/408,786.56
  6. Step 6: Final answer
    x = 213,635.90

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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.