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Finding the Fourth Proportional to 313,776.47, 470,660.61 and 77,121.20

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Solution

The fourth proportional to 313,776.47, 470,660.61 and 77,121.20 is: 115,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,776.47 : 470,660.61 = 77,121.20 : x
  2. Step 2: Convert to fraction form
    313,776.47/470,660.61 = 77,121.20/x
  3. Step 3: Cross multiply
    313,776.47x = 470,660.61 × 77,121.20
  4. Step 4: Simplify right side
    313,776.47x = 36,297,912,212.58
  5. Step 5: Solve for x
    x = 36,297,912,212.58/313,776.47
  6. Step 6: Final answer
    x = 115,680.80

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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.