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Finding the Fourth Proportional to 517,792.88, 775,639.56 and 267,950

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Solution

The fourth proportional to 517,792.88, 775,639.56 and 267,950 is: 401,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,792.88 : 775,639.56 = 267,950 : x
  2. Step 2: Convert to fraction form
    517,792.88/775,639.56 = 267,950/x
  3. Step 3: Cross multiply
    517,792.88x = 775,639.56 × 267,950
  4. Step 4: Simplify right side
    517,792.88x = 207,832,620,102
  5. Step 5: Solve for x
    x = 207,832,620,102/517,792.88
  6. Step 6: Final answer
    x = 401,381.77

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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.