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Finding the Fourth Proportional to 280,464.60, 419,822.10 and 201,732.60

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Solution

The fourth proportional to 280,464.60, 419,822.10 and 201,732.60 is: 301,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464.60 : 419,822.10 = 201,732.60 : x
  2. Step 2: Convert to fraction form
    280,464.60/419,822.10 = 201,732.60/x
  3. Step 3: Cross multiply
    280,464.60x = 419,822.10 × 201,732.60
  4. Step 4: Simplify right side
    280,464.60x = 84,691,803,770.46
  5. Step 5: Solve for x
    x = 84,691,803,770.46/280,464.60
  6. Step 6: Final answer
    x = 301,969.67

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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.