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Finding the Fourth Proportional to 403,710.33, 605,579.73 and 213,914.23

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Solution

The fourth proportional to 403,710.33, 605,579.73 and 213,914.23 is: 320,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,710.33 : 605,579.73 = 213,914.23 : x
  2. Step 2: Convert to fraction form
    403,710.33/605,579.73 = 213,914.23/x
  3. Step 3: Cross multiply
    403,710.33x = 605,579.73 × 213,914.23
  4. Step 4: Simplify right side
    403,710.33x = 129,542,121,646.56
  5. Step 5: Solve for x
    x = 129,542,121,646.56/403,710.33
  6. Step 6: Final answer
    x = 320,878.89

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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.