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Finding the Fourth Proportional to 313,696.87, 470,546.88 and 77,039.62

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Solution

The fourth proportional to 313,696.87, 470,546.88 and 77,039.62 is: 115,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,696.87 : 470,546.88 = 77,039.62 : x
  2. Step 2: Convert to fraction form
    313,696.87/470,546.88 = 77,039.62/x
  3. Step 3: Cross multiply
    313,696.87x = 470,546.88 × 77,039.62
  4. Step 4: Simplify right side
    313,696.87x = 36,250,752,827.39
  5. Step 5: Solve for x
    x = 36,250,752,827.39/313,696.87
  6. Step 6: Final answer
    x = 115,559.82

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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.