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Finding the Fourth Proportional to 411,805.92, 617,702.40 and 131,321.28

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Solution

The fourth proportional to 411,805.92, 617,702.40 and 131,321.28 is: 196,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,805.92 : 617,702.40 = 131,321.28 : x
  2. Step 2: Convert to fraction form
    411,805.92/617,702.40 = 131,321.28/x
  3. Step 3: Cross multiply
    411,805.92x = 617,702.40 × 131,321.28
  4. Step 4: Simplify right side
    411,805.92x = 81,117,469,827.07
  5. Step 5: Solve for x
    x = 81,117,469,827.07/411,805.92
  6. Step 6: Final answer
    x = 196,979.85

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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.