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Finding the Fourth Proportional to 458,696.92, 687,991.89 and 121,763.75

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Solution

The fourth proportional to 458,696.92, 687,991.89 and 121,763.75 is: 182,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,696.92 : 687,991.89 = 121,763.75 : x
  2. Step 2: Convert to fraction form
    458,696.92/687,991.89 = 121,763.75/x
  3. Step 3: Cross multiply
    458,696.92x = 687,991.89 × 121,763.75
  4. Step 4: Simplify right side
    458,696.92x = 83,772,469,056.03
  5. Step 5: Solve for x
    x = 83,772,469,056.03/458,696.92
  6. Step 6: Final answer
    x = 182,631.42

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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.