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Finding the Fourth Proportional to 403,274.16, 605,284.84 and 203,735.12

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Solution

The fourth proportional to 403,274.16, 605,284.84 and 203,735.12 is: 305,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,274.16 : 605,284.84 = 203,735.12 : x
  2. Step 2: Convert to fraction form
    403,274.16/605,284.84 = 203,735.12/x
  3. Step 3: Cross multiply
    403,274.16x = 605,284.84 × 203,735.12
  4. Step 4: Simplify right side
    403,274.16x = 123,317,779,511.58
  5. Step 5: Solve for x
    x = 123,317,779,511.58/403,274.16
  6. Step 6: Final answer
    x = 305,791.42

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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.