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Finding the Fourth Proportional to 403,291.54, 605,028.45 and 133,419.05

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Solution

The fourth proportional to 403,291.54, 605,028.45 and 133,419.05 is: 200,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,291.54 : 605,028.45 = 133,419.05 : x
  2. Step 2: Convert to fraction form
    403,291.54/605,028.45 = 133,419.05/x
  3. Step 3: Cross multiply
    403,291.54x = 605,028.45 × 133,419.05
  4. Step 4: Simplify right side
    403,291.54x = 80,722,318,313.88
  5. Step 5: Solve for x
    x = 80,722,318,313.88/403,291.54
  6. Step 6: Final answer
    x = 200,158.72

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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.