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Finding the Fourth Proportional to 411,907.20, 617,083.20 and 211,545.60

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Solution

The fourth proportional to 411,907.20, 617,083.20 and 211,545.60 is: 316,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,907.20 : 617,083.20 = 211,545.60 : x
  2. Step 2: Convert to fraction form
    411,907.20/617,083.20 = 211,545.60/x
  3. Step 3: Cross multiply
    411,907.20x = 617,083.20 × 211,545.60
  4. Step 4: Simplify right side
    411,907.20x = 130,541,235,793.92
  5. Step 5: Solve for x
    x = 130,541,235,793.92/411,907.20
  6. Step 6: Final answer
    x = 316,919.04

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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.