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Finding the Fourth Proportional to 411,487.92, 617,227.56 and 312,257.70

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Solution

The fourth proportional to 411,487.92, 617,227.56 and 312,257.70 is: 468,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,487.92 : 617,227.56 = 312,257.70 : x
  2. Step 2: Convert to fraction form
    411,487.92/617,227.56 = 312,257.70/x
  3. Step 3: Cross multiply
    411,487.92x = 617,227.56 × 312,257.70
  4. Step 4: Simplify right side
    411,487.92x = 192,734,058,262.21
  5. Step 5: Solve for x
    x = 192,734,058,262.21/411,487.92
  6. Step 6: Final answer
    x = 468,383.27

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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.