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Finding the Fourth Proportional to 313,919.67, 470,881.33 and 77,260.76

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Solution

The fourth proportional to 313,919.67, 470,881.33 and 77,260.76 is: 115,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,919.67 : 470,881.33 = 77,260.76 : x
  2. Step 2: Convert to fraction form
    313,919.67/470,881.33 = 77,260.76/x
  3. Step 3: Cross multiply
    313,919.67x = 470,881.33 × 77,260.76
  4. Step 4: Simplify right side
    313,919.67x = 36,380,646,878.05
  5. Step 5: Solve for x
    x = 36,380,646,878.05/313,919.67
  6. Step 6: Final answer
    x = 115,891.58

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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.