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Finding the Fourth Proportional to 419,964.79, 629,947.02 and 104,421.73

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Solution

The fourth proportional to 419,964.79, 629,947.02 and 104,421.73 is: 156,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,964.79 : 629,947.02 = 104,421.73 : x
  2. Step 2: Convert to fraction form
    419,964.79/629,947.02 = 104,421.73/x
  3. Step 3: Cross multiply
    419,964.79x = 629,947.02 × 104,421.73
  4. Step 4: Simplify right side
    419,964.79x = 65,780,157,636.74
  5. Step 5: Solve for x
    x = 65,780,157,636.74/419,964.79
  6. Step 6: Final answer
    x = 156,632.55

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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.