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Finding the Fourth Proportional to 375,724.34, 518,499.60 and 205,954.82

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Solution

The fourth proportional to 375,724.34, 518,499.60 and 205,954.82 is: 284,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,724.34 : 518,499.60 = 205,954.82 : x
  2. Step 2: Convert to fraction form
    375,724.34/518,499.60 = 205,954.82/x
  3. Step 3: Cross multiply
    375,724.34x = 518,499.60 × 205,954.82
  4. Step 4: Simplify right side
    375,724.34x = 106,787,491,788.07
  5. Step 5: Solve for x
    x = 106,787,491,788.07/375,724.34
  6. Step 6: Final answer
    x = 284,217.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.