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Finding the Fourth Proportional to 652,162.80, 978,244.20 and 449,209.20

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Solution

The fourth proportional to 652,162.80, 978,244.20 and 449,209.20 is: 673,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,162.80 : 978,244.20 = 449,209.20 : x
  2. Step 2: Convert to fraction form
    652,162.80/978,244.20 = 449,209.20/x
  3. Step 3: Cross multiply
    652,162.80x = 978,244.20 × 449,209.20
  4. Step 4: Simplify right side
    652,162.80x = 439,436,294,486.64
  5. Step 5: Solve for x
    x = 439,436,294,486.64/652,162.80
  6. Step 6: Final answer
    x = 673,813.80

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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.