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Finding the Fourth Proportional to 403,401.20, 605,101.80 and 338,447.30

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Solution

The fourth proportional to 403,401.20, 605,101.80 and 338,447.30 is: 507,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,401.20 : 605,101.80 = 338,447.30 : x
  2. Step 2: Convert to fraction form
    403,401.20/605,101.80 = 338,447.30/x
  3. Step 3: Cross multiply
    403,401.20x = 605,101.80 × 338,447.30
  4. Step 4: Simplify right side
    403,401.20x = 204,795,070,435.14
  5. Step 5: Solve for x
    x = 204,795,070,435.14/403,401.20
  6. Step 6: Final answer
    x = 507,670.95

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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.