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Finding the Fourth Proportional to 367,412.80, 550,438.80 and 209,171.20

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Solution

The fourth proportional to 367,412.80, 550,438.80 and 209,171.20 is: 313,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,412.80 : 550,438.80 = 209,171.20 : x
  2. Step 2: Convert to fraction form
    367,412.80/550,438.80 = 209,171.20/x
  3. Step 3: Cross multiply
    367,412.80x = 550,438.80 × 209,171.20
  4. Step 4: Simplify right side
    367,412.80x = 115,135,944,322.56
  5. Step 5: Solve for x
    x = 115,135,944,322.56/367,412.80
  6. Step 6: Final answer
    x = 313,369.44

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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.