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Finding the Fourth Proportional to 481,532.16, 664,624.98 and 320,394

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Solution

The fourth proportional to 481,532.16, 664,624.98 and 320,394 is: 442,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,532.16 : 664,624.98 = 320,394 : x
  2. Step 2: Convert to fraction form
    481,532.16/664,624.98 = 320,394/x
  3. Step 3: Cross multiply
    481,532.16x = 664,624.98 × 320,394
  4. Step 4: Simplify right side
    481,532.16x = 212,941,855,842.12
  5. Step 5: Solve for x
    x = 212,941,855,842.12/481,532.16
  6. Step 6: Final answer
    x = 442,217.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.