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Finding the Fourth Proportional to 411,757.92, 617,630.40 and 131,273.28

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Solution

The fourth proportional to 411,757.92, 617,630.40 and 131,273.28 is: 196,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,757.92 : 617,630.40 = 131,273.28 : x
  2. Step 2: Convert to fraction form
    411,757.92/617,630.40 = 131,273.28/x
  3. Step 3: Cross multiply
    411,757.92x = 617,630.40 × 131,273.28
  4. Step 4: Simplify right side
    411,757.92x = 81,078,368,435.71
  5. Step 5: Solve for x
    x = 81,078,368,435.71/411,757.92
  6. Step 6: Final answer
    x = 196,907.85

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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.