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Finding the Fourth Proportional to 403,705.20, 605,266.20 and 226,266.60

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Solution

The fourth proportional to 403,705.20, 605,266.20 and 226,266.60 is: 339,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,705.20 : 605,266.20 = 226,266.60 : x
  2. Step 2: Convert to fraction form
    403,705.20/605,266.20 = 226,266.60/x
  3. Step 3: Cross multiply
    403,705.20x = 605,266.20 × 226,266.60
  4. Step 4: Simplify right side
    403,705.20x = 136,951,525,168.92
  5. Step 5: Solve for x
    x = 136,951,525,168.92/403,705.20
  6. Step 6: Final answer
    x = 339,236.47

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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.