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Finding the Fourth Proportional to 413,921.80, 620,396.70 and 409,489.48

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Solution

The fourth proportional to 413,921.80, 620,396.70 and 409,489.48 is: 613,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,921.80 : 620,396.70 = 409,489.48 : x
  2. Step 2: Convert to fraction form
    413,921.80/620,396.70 = 409,489.48/x
  3. Step 3: Cross multiply
    413,921.80x = 620,396.70 × 409,489.48
  4. Step 4: Simplify right side
    413,921.80x = 254,045,922,076.72
  5. Step 5: Solve for x
    x = 254,045,922,076.72/413,921.80
  6. Step 6: Final answer
    x = 613,753.42

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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.