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Finding the Fourth Proportional to 403,357.20, 605,035.80 and 338,403.30

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Solution

The fourth proportional to 403,357.20, 605,035.80 and 338,403.30 is: 507,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,357.20 : 605,035.80 = 338,403.30 : x
  2. Step 2: Convert to fraction form
    403,357.20/605,035.80 = 338,403.30/x
  3. Step 3: Cross multiply
    403,357.20x = 605,035.80 × 338,403.30
  4. Step 4: Simplify right side
    403,357.20x = 204,746,111,338.14
  5. Step 5: Solve for x
    x = 204,746,111,338.14/403,357.20
  6. Step 6: Final answer
    x = 507,604.95

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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.