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Finding the Fourth Proportional to 416,198.80, 624,384.60 and 135,737.20

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Solution

The fourth proportional to 416,198.80, 624,384.60 and 135,737.20 is: 203,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,198.80 : 624,384.60 = 135,737.20 : x
  2. Step 2: Convert to fraction form
    416,198.80/624,384.60 = 135,737.20/x
  3. Step 3: Cross multiply
    416,198.80x = 624,384.60 × 135,737.20
  4. Step 4: Simplify right side
    416,198.80x = 84,752,217,327.12
  5. Step 5: Solve for x
    x = 84,752,217,327.12/416,198.80
  6. Step 6: Final answer
    x = 203,633.98

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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.