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Finding the Fourth Proportional to 351,686.48, 485,298.61 and 206,476.97

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Solution

The fourth proportional to 351,686.48, 485,298.61 and 206,476.97 is: 284,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,686.48 : 485,298.61 = 206,476.97 : x
  2. Step 2: Convert to fraction form
    351,686.48/485,298.61 = 206,476.97/x
  3. Step 3: Cross multiply
    351,686.48x = 485,298.61 × 206,476.97
  4. Step 4: Simplify right side
    351,686.48x = 100,202,986,538.01
  5. Step 5: Solve for x
    x = 100,202,986,538.01/351,686.48
  6. Step 6: Final answer
    x = 284,921.35

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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.