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Finding the Fourth Proportional to 419,904.90, 629,965.94 and 120,407.40

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Solution

The fourth proportional to 419,904.90, 629,965.94 and 120,407.40 is: 180,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904.90 : 629,965.94 = 120,407.40 : x
  2. Step 2: Convert to fraction form
    419,904.90/629,965.94 = 120,407.40/x
  3. Step 3: Cross multiply
    419,904.90x = 629,965.94 × 120,407.40
  4. Step 4: Simplify right side
    419,904.90x = 75,852,560,923.96
  5. Step 5: Solve for x
    x = 75,852,560,923.96/419,904.90
  6. Step 6: Final answer
    x = 180,642.24

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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.