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Finding the Fourth Proportional to 493,764, 681,394.32 and 267,409.50

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Solution

The fourth proportional to 493,764, 681,394.32 and 267,409.50 is: 369,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,764 : 681,394.32 = 267,409.50 : x
  2. Step 2: Convert to fraction form
    493,764/681,394.32 = 267,409.50/x
  3. Step 3: Cross multiply
    493,764x = 681,394.32 × 267,409.50
  4. Step 4: Simplify right side
    493,764x = 182,211,314,414.04
  5. Step 5: Solve for x
    x = 182,211,314,414.04/493,764
  6. Step 6: Final answer
    x = 369,025.11

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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.