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Finding the Fourth Proportional to 820,135.80, 1,230,203.70 and 482,830.20

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Solution

The fourth proportional to 820,135.80, 1,230,203.70 and 482,830.20 is: 724,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,135.80 : 1,230,203.70 = 482,830.20 : x
  2. Step 2: Convert to fraction form
    820,135.80/1,230,203.70 = 482,830.20/x
  3. Step 3: Cross multiply
    820,135.80x = 1,230,203.70 × 482,830.20
  4. Step 4: Simplify right side
    820,135.80x = 593,979,498,511.74
  5. Step 5: Solve for x
    x = 593,979,498,511.74/820,135.80
  6. Step 6: Final answer
    x = 724,245.30

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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.