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Finding the Fourth Proportional to 652,144.80, 978,217.20 and 449,191.20

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Solution

The fourth proportional to 652,144.80, 978,217.20 and 449,191.20 is: 673,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,144.80 : 978,217.20 = 449,191.20 : x
  2. Step 2: Convert to fraction form
    652,144.80/978,217.20 = 449,191.20/x
  3. Step 3: Cross multiply
    652,144.80x = 978,217.20 × 449,191.20
  4. Step 4: Simplify right side
    652,144.80x = 439,406,557,928.64
  5. Step 5: Solve for x
    x = 439,406,557,928.64/652,144.80
  6. Step 6: Final answer
    x = 673,786.80

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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.