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Finding the Fourth Proportional to 322,405.05, 482,459.40 and 280,742.70

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Solution

The fourth proportional to 322,405.05, 482,459.40 and 280,742.70 is: 420,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,405.05 : 482,459.40 = 280,742.70 : x
  2. Step 2: Convert to fraction form
    322,405.05/482,459.40 = 280,742.70/x
  3. Step 3: Cross multiply
    322,405.05x = 482,459.40 × 280,742.70
  4. Step 4: Simplify right side
    322,405.05x = 135,446,954,596.38
  5. Step 5: Solve for x
    x = 135,446,954,596.38/322,405.05
  6. Step 6: Final answer
    x = 420,114.25

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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.