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Finding the Fourth Proportional to 411,601.77, 617,513.49 and 211,813.25

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Solution

The fourth proportional to 411,601.77, 617,513.49 and 211,813.25 is: 317,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,601.77 : 617,513.49 = 211,813.25 : x
  2. Step 2: Convert to fraction form
    411,601.77/617,513.49 = 211,813.25/x
  3. Step 3: Cross multiply
    411,601.77x = 617,513.49 × 211,813.25
  4. Step 4: Simplify right side
    411,601.77x = 130,797,536,148.18
  5. Step 5: Solve for x
    x = 130,797,536,148.18/411,601.77
  6. Step 6: Final answer
    x = 317,776.90

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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.