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Finding the Fourth Proportional to 321,181.80, 481,772.70 and 134,193.30

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Solution

The fourth proportional to 321,181.80, 481,772.70 and 134,193.30 is: 201,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,181.80 : 481,772.70 = 134,193.30 : x
  2. Step 2: Convert to fraction form
    321,181.80/481,772.70 = 134,193.30/x
  3. Step 3: Cross multiply
    321,181.80x = 481,772.70 × 134,193.30
  4. Step 4: Simplify right side
    321,181.80x = 64,650,668,462.91
  5. Step 5: Solve for x
    x = 64,650,668,462.91/321,181.80
  6. Step 6: Final answer
    x = 201,289.95

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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.