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Finding the Fourth Proportional to 313,791.80, 470,396.10 and 219,021.80

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Solution

The fourth proportional to 313,791.80, 470,396.10 and 219,021.80 is: 328,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,791.80 : 470,396.10 = 219,021.80 : x
  2. Step 2: Convert to fraction form
    313,791.80/470,396.10 = 219,021.80/x
  3. Step 3: Cross multiply
    313,791.80x = 470,396.10 × 219,021.80
  4. Step 4: Simplify right side
    313,791.80x = 103,027,000,534.98
  5. Step 5: Solve for x
    x = 103,027,000,534.98/313,791.80
  6. Step 6: Final answer
    x = 328,329.17

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1.5x scale

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.