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Finding the Fourth Proportional to 493,969.28, 681,678.32 and 267,614.78

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Solution

The fourth proportional to 493,969.28, 681,678.32 and 267,614.78 is: 369,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,969.28 : 681,678.32 = 267,614.78 : x
  2. Step 2: Convert to fraction form
    493,969.28/681,678.32 = 267,614.78/x
  3. Step 3: Cross multiply
    493,969.28x = 681,678.32 × 267,614.78
  4. Step 4: Simplify right side
    493,969.28x = 182,427,193,637.57
  5. Step 5: Solve for x
    x = 182,427,193,637.57/493,969.28
  6. Step 6: Final answer
    x = 369,308.78

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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.