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Finding the Fourth Proportional to 381,605.40, 572,408.10 and 115,338.15

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Solution

The fourth proportional to 381,605.40, 572,408.10 and 115,338.15 is: 173,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,605.40 : 572,408.10 = 115,338.15 : x
  2. Step 2: Convert to fraction form
    381,605.40/572,408.10 = 115,338.15/x
  3. Step 3: Cross multiply
    381,605.40x = 572,408.10 × 115,338.15
  4. Step 4: Simplify right side
    381,605.40x = 66,020,491,299.02
  5. Step 5: Solve for x
    x = 66,020,491,299.02/381,605.40
  6. Step 6: Final answer
    x = 173,007.23

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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.