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Finding the Fourth Proportional to 436,941.60, 655,487.10 and 200,304.60

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Solution

The fourth proportional to 436,941.60, 655,487.10 and 200,304.60 is: 300,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,941.60 : 655,487.10 = 200,304.60 : x
  2. Step 2: Convert to fraction form
    436,941.60/655,487.10 = 200,304.60/x
  3. Step 3: Cross multiply
    436,941.60x = 655,487.10 × 200,304.60
  4. Step 4: Simplify right side
    436,941.60x = 131,297,081,370.66
  5. Step 5: Solve for x
    x = 131,297,081,370.66/436,941.60
  6. Step 6: Final answer
    x = 300,491.14

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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.