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Finding the Fourth Proportional to 381,605.80, 572,408.70 and 269,631.40

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Solution

The fourth proportional to 381,605.80, 572,408.70 and 269,631.40 is: 404,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,605.80 : 572,408.70 = 269,631.40 : x
  2. Step 2: Convert to fraction form
    381,605.80/572,408.70 = 269,631.40/x
  3. Step 3: Cross multiply
    381,605.80x = 572,408.70 × 269,631.40
  4. Step 4: Simplify right side
    381,605.80x = 154,339,359,153.18
  5. Step 5: Solve for x
    x = 154,339,359,153.18/381,605.80
  6. Step 6: Final answer
    x = 404,447.10

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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.