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Finding the Fourth Proportional to 521,941.43, 782,720.12 and 180,297.92

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Solution

The fourth proportional to 521,941.43, 782,720.12 and 180,297.92 is: 270,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,941.43 : 782,720.12 = 180,297.92 : x
  2. Step 2: Convert to fraction form
    521,941.43/782,720.12 = 180,297.92/x
  3. Step 3: Cross multiply
    521,941.43x = 782,720.12 × 180,297.92
  4. Step 4: Simplify right side
    521,941.43x = 141,122,809,578.15
  5. Step 5: Solve for x
    x = 141,122,809,578.15/521,941.43
  6. Step 6: Final answer
    x = 270,380.55

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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.