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Finding the Fourth Proportional to 413,396.73, 619,517.70 and 223,447.68

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Solution

The fourth proportional to 413,396.73, 619,517.70 and 223,447.68 is: 334,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,396.73 : 619,517.70 = 223,447.68 : x
  2. Step 2: Convert to fraction form
    413,396.73/619,517.70 = 223,447.68/x
  3. Step 3: Cross multiply
    413,396.73x = 619,517.70 × 223,447.68
  4. Step 4: Simplify right side
    413,396.73x = 138,429,792,783.94
  5. Step 5: Solve for x
    x = 138,429,792,783.94/413,396.73
  6. Step 6: Final answer
    x = 334,859.43

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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.