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Finding the Fourth Proportional to 382,488.40, 573,732.60 and 213,835.60

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Solution

The fourth proportional to 382,488.40, 573,732.60 and 213,835.60 is: 320,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,488.40 : 573,732.60 = 213,835.60 : x
  2. Step 2: Convert to fraction form
    382,488.40/573,732.60 = 213,835.60/x
  3. Step 3: Cross multiply
    382,488.40x = 573,732.60 × 213,835.60
  4. Step 4: Simplify right side
    382,488.40x = 122,684,454,760.56
  5. Step 5: Solve for x
    x = 122,684,454,760.56/382,488.40
  6. Step 6: Final answer
    x = 320,753.40

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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.