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Finding the Fourth Proportional to 298,709.40, 446,768.10 and 267,346.20

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Solution

The fourth proportional to 298,709.40, 446,768.10 and 267,346.20 is: 399,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,709.40 : 446,768.10 = 267,346.20 : x
  2. Step 2: Convert to fraction form
    298,709.40/446,768.10 = 267,346.20/x
  3. Step 3: Cross multiply
    298,709.40x = 446,768.10 × 267,346.20
  4. Step 4: Simplify right side
    298,709.40x = 119,441,753,816.22
  5. Step 5: Solve for x
    x = 119,441,753,816.22/298,709.40
  6. Step 6: Final answer
    x = 399,859.37

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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.