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Finding the Fourth Proportional to 419,703.12, 629,448.84 and 120,185.64

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Solution

The fourth proportional to 419,703.12, 629,448.84 and 120,185.64 is: 180,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,703.12 : 629,448.84 = 120,185.64 : x
  2. Step 2: Convert to fraction form
    419,703.12/629,448.84 = 120,185.64/x
  3. Step 3: Cross multiply
    419,703.12x = 629,448.84 × 120,185.64
  4. Step 4: Simplify right side
    419,703.12x = 75,650,711,682.66
  5. Step 5: Solve for x
    x = 75,650,711,682.66/419,703.12
  6. Step 6: Final answer
    x = 180,248.15

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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.