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Finding the Fourth Proportional to 313,964.99, 470,963.78 and 103,619.33

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Solution

The fourth proportional to 313,964.99, 470,963.78 and 103,619.33 is: 155,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,964.99 : 470,963.78 = 103,619.33 : x
  2. Step 2: Convert to fraction form
    313,964.99/470,963.78 = 103,619.33/x
  3. Step 3: Cross multiply
    313,964.99x = 470,963.78 × 103,619.33
  4. Step 4: Simplify right side
    313,964.99x = 48,800,950,819.77
  5. Step 5: Solve for x
    x = 48,800,950,819.77/313,964.99
  6. Step 6: Final answer
    x = 155,434.37

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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.