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Finding the Fourth Proportional to 413,600.33, 620,709.30 and 307,229.90

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Solution

The fourth proportional to 413,600.33, 620,709.30 and 307,229.90 is: 461,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,600.33 : 620,709.30 = 307,229.90 : x
  2. Step 2: Convert to fraction form
    413,600.33/620,709.30 = 307,229.90/x
  3. Step 3: Cross multiply
    413,600.33x = 620,709.30 × 307,229.90
  4. Step 4: Simplify right side
    413,600.33x = 190,700,456,168.07
  5. Step 5: Solve for x
    x = 190,700,456,168.07/413,600.33
  6. Step 6: Final answer
    x = 461,074.24

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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.