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Finding the Fourth Proportional to 403,469.28, 605,028.78 and 137,158.20

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Solution

The fourth proportional to 403,469.28, 605,028.78 and 137,158.20 is: 205,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,469.28 : 605,028.78 = 137,158.20 : x
  2. Step 2: Convert to fraction form
    403,469.28/605,028.78 = 137,158.20/x
  3. Step 3: Cross multiply
    403,469.28x = 605,028.78 × 137,158.20
  4. Step 4: Simplify right side
    403,469.28x = 82,984,658,413.00
  5. Step 5: Solve for x
    x = 82,984,658,413.00/403,469.28
  6. Step 6: Final answer
    x = 205,677.76

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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.