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Finding the Fourth Proportional to 313,725.60, 470,517.84 and 89,081.28

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Solution

The fourth proportional to 313,725.60, 470,517.84 and 89,081.28 is: 133,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,725.60 : 470,517.84 = 89,081.28 : x
  2. Step 2: Convert to fraction form
    313,725.60/470,517.84 = 89,081.28/x
  3. Step 3: Cross multiply
    313,725.60x = 470,517.84 × 89,081.28
  4. Step 4: Simplify right side
    313,725.60x = 41,914,331,450.04
  5. Step 5: Solve for x
    x = 41,914,331,450.04/313,725.60
  6. Step 6: Final answer
    x = 133,601.88

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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.