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Finding the Fourth Proportional to 403,383.16, 605,069.20 and 137,329.21

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Solution

The fourth proportional to 403,383.16, 605,069.20 and 137,329.21 is: 205,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,383.16 : 605,069.20 = 137,329.21 : x
  2. Step 2: Convert to fraction form
    403,383.16/605,069.20 = 137,329.21/x
  3. Step 3: Cross multiply
    403,383.16x = 605,069.20 × 137,329.21
  4. Step 4: Simplify right side
    403,383.16x = 83,093,675,231.33
  5. Step 5: Solve for x
    x = 83,093,675,231.33/403,383.16
  6. Step 6: Final answer
    x = 205,991.93

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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.