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Finding the Fourth Proportional to 403,771.30, 605,511.15 and 204,025.30

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Solution

The fourth proportional to 403,771.30, 605,511.15 and 204,025.30 is: 305,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,771.30 : 605,511.15 = 204,025.30 : x
  2. Step 2: Convert to fraction form
    403,771.30/605,511.15 = 204,025.30/x
  3. Step 3: Cross multiply
    403,771.30x = 605,511.15 × 204,025.30
  4. Step 4: Simplify right side
    403,771.30x = 123,539,594,032.10
  5. Step 5: Solve for x
    x = 123,539,594,032.10/403,771.30
  6. Step 6: Final answer
    x = 305,964.28

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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.