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Finding the Fourth Proportional to 547,069.20, 820,020.60 and 209,979.60

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Solution

The fourth proportional to 547,069.20, 820,020.60 and 209,979.60 is: 314,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,069.20 : 820,020.60 = 209,979.60 : x
  2. Step 2: Convert to fraction form
    547,069.20/820,020.60 = 209,979.60/x
  3. Step 3: Cross multiply
    547,069.20x = 820,020.60 × 209,979.60
  4. Step 4: Simplify right side
    547,069.20x = 172,187,597,579.76
  5. Step 5: Solve for x
    x = 172,187,597,579.76/547,069.20
  6. Step 6: Final answer
    x = 314,745.55

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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.