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Finding the Fourth Proportional to 419,329.36, 628,412.12 and 191,067.14

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Solution

The fourth proportional to 419,329.36, 628,412.12 and 191,067.14 is: 286,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,329.36 : 628,412.12 = 191,067.14 : x
  2. Step 2: Convert to fraction form
    419,329.36/628,412.12 = 191,067.14/x
  3. Step 3: Cross multiply
    419,329.36x = 628,412.12 × 191,067.14
  4. Step 4: Simplify right side
    419,329.36x = 120,068,906,509.74
  5. Step 5: Solve for x
    x = 120,068,906,509.74/419,329.36
  6. Step 6: Final answer
    x = 286,335.56

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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.