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Finding the Fourth Proportional to 384,226.60, 576,987.90 and 320,981.80

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Solution

The fourth proportional to 384,226.60, 576,987.90 and 320,981.80 is: 482,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,226.60 : 576,987.90 = 320,981.80 : x
  2. Step 2: Convert to fraction form
    384,226.60/576,987.90 = 320,981.80/x
  3. Step 3: Cross multiply
    384,226.60x = 576,987.90 × 320,981.80
  4. Step 4: Simplify right side
    384,226.60x = 185,202,614,720.22
  5. Step 5: Solve for x
    x = 185,202,614,720.22/384,226.60
  6. Step 6: Final answer
    x = 482,014.04

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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.