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Finding the Fourth Proportional to 646,878.28, 970,504.50 and 267,728.92

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Solution

The fourth proportional to 646,878.28, 970,504.50 and 267,728.92 is: 401,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,878.28 : 970,504.50 = 267,728.92 : x
  2. Step 2: Convert to fraction form
    646,878.28/970,504.50 = 267,728.92/x
  3. Step 3: Cross multiply
    646,878.28x = 970,504.50 × 267,728.92
  4. Step 4: Simplify right side
    646,878.28x = 259,832,121,640.14
  5. Step 5: Solve for x
    x = 259,832,121,640.14/646,878.28
  6. Step 6: Final answer
    x = 401,670.81

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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.