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Finding the Fourth Proportional to 413,211.28, 620,149.02 and 213,590.14

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Solution

The fourth proportional to 413,211.28, 620,149.02 and 213,590.14 is: 320,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,211.28 : 620,149.02 = 213,590.14 : x
  2. Step 2: Convert to fraction form
    413,211.28/620,149.02 = 213,590.14/x
  3. Step 3: Cross multiply
    413,211.28x = 620,149.02 × 213,590.14
  4. Step 4: Simplify right side
    413,211.28x = 132,457,716,002.66
  5. Step 5: Solve for x
    x = 132,457,716,002.66/413,211.28
  6. Step 6: Final answer
    x = 320,556.87

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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.