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Finding the Fourth Proportional to 411,912.80, 617,869.20 and 323,439.20

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Solution

The fourth proportional to 411,912.80, 617,869.20 and 323,439.20 is: 485,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,912.80 : 617,869.20 = 323,439.20 : x
  2. Step 2: Convert to fraction form
    411,912.80/617,869.20 = 323,439.20/x
  3. Step 3: Cross multiply
    411,912.80x = 617,869.20 × 323,439.20
  4. Step 4: Simplify right side
    411,912.80x = 199,843,119,752.64
  5. Step 5: Solve for x
    x = 199,843,119,752.64/411,912.80
  6. Step 6: Final answer
    x = 485,158.80

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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.