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Finding the Fourth Proportional to 321,205.62, 481,658.84 and 143,714.10

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Solution

The fourth proportional to 321,205.62, 481,658.84 and 143,714.10 is: 215,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,205.62 : 481,658.84 = 143,714.10 : x
  2. Step 2: Convert to fraction form
    321,205.62/481,658.84 = 143,714.10/x
  3. Step 3: Cross multiply
    321,205.62x = 481,658.84 × 143,714.10
  4. Step 4: Simplify right side
    321,205.62x = 69,221,166,697.64
  5. Step 5: Solve for x
    x = 69,221,166,697.64/321,205.62
  6. Step 6: Final answer
    x = 215,504.22

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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.