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Finding the Fourth Proportional to 411,769.92, 617,648.40 and 131,285.28

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Solution

The fourth proportional to 411,769.92, 617,648.40 and 131,285.28 is: 196,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,769.92 : 617,648.40 = 131,285.28 : x
  2. Step 2: Convert to fraction form
    411,769.92/617,648.40 = 131,285.28/x
  3. Step 3: Cross multiply
    411,769.92x = 617,648.40 × 131,285.28
  4. Step 4: Simplify right side
    411,769.92x = 81,088,143,135.55
  5. Step 5: Solve for x
    x = 81,088,143,135.55/411,769.92
  6. Step 6: Final answer
    x = 196,925.85

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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.