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Finding the Fourth Proportional to 403,651.20, 605,428.20 and 166,969.20

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Solution

The fourth proportional to 403,651.20, 605,428.20 and 166,969.20 is: 250,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,651.20 : 605,428.20 = 166,969.20 : x
  2. Step 2: Convert to fraction form
    403,651.20/605,428.20 = 166,969.20/x
  3. Step 3: Cross multiply
    403,651.20x = 605,428.20 × 166,969.20
  4. Step 4: Simplify right side
    403,651.20x = 101,087,862,211.44
  5. Step 5: Solve for x
    x = 101,087,862,211.44/403,651.20
  6. Step 6: Final answer
    x = 250,433.70

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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.