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Finding the Fourth Proportional to 437,616.20, 656,424.30 and 280,022.60

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Solution

The fourth proportional to 437,616.20, 656,424.30 and 280,022.60 is: 420,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,616.20 : 656,424.30 = 280,022.60 : x
  2. Step 2: Convert to fraction form
    437,616.20/656,424.30 = 280,022.60/x
  3. Step 3: Cross multiply
    437,616.20x = 656,424.30 × 280,022.60
  4. Step 4: Simplify right side
    437,616.20x = 183,813,639,189.18
  5. Step 5: Solve for x
    x = 183,813,639,189.18/437,616.20
  6. Step 6: Final answer
    x = 420,033.90

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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.