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Finding the Fourth Proportional to 321,700.80, 482,858.40 and 275,006.40

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Solution

The fourth proportional to 321,700.80, 482,858.40 and 275,006.40 is: 412,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,700.80 : 482,858.40 = 275,006.40 : x
  2. Step 2: Convert to fraction form
    321,700.80/482,858.40 = 275,006.40/x
  3. Step 3: Cross multiply
    321,700.80x = 482,858.40 × 275,006.40
  4. Step 4: Simplify right side
    321,700.80x = 132,789,150,293.76
  5. Step 5: Solve for x
    x = 132,789,150,293.76/321,700.80
  6. Step 6: Final answer
    x = 412,772.21

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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.