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Finding the Fourth Proportional to 411,954.64, 617,942.76 and 131,471.68

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Solution

The fourth proportional to 411,954.64, 617,942.76 and 131,471.68 is: 197,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,954.64 : 617,942.76 = 131,471.68 : x
  2. Step 2: Convert to fraction form
    411,954.64/617,942.76 = 131,471.68/x
  3. Step 3: Cross multiply
    411,954.64x = 617,942.76 × 131,471.68
  4. Step 4: Simplify right side
    411,954.64x = 81,241,972,801.04
  5. Step 5: Solve for x
    x = 81,241,972,801.04/411,954.64
  6. Step 6: Final answer
    x = 197,210.97

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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.