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Finding the Fourth Proportional to 323,080.80, 484,429.20 and 198,511.20

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Solution

The fourth proportional to 323,080.80, 484,429.20 and 198,511.20 is: 297,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,080.80 : 484,429.20 = 198,511.20 : x
  2. Step 2: Convert to fraction form
    323,080.80/484,429.20 = 198,511.20/x
  3. Step 3: Cross multiply
    323,080.80x = 484,429.20 × 198,511.20
  4. Step 4: Simplify right side
    323,080.80x = 96,164,621,807.04
  5. Step 5: Solve for x
    x = 96,164,621,807.04/323,080.80
  6. Step 6: Final answer
    x = 297,648.83

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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.