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Finding the Fourth Proportional to 206,422.20, 310,333.20 and 164,833.56

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Solution

The fourth proportional to 206,422.20, 310,333.20 and 164,833.56 is: 247,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.20 : 310,333.20 = 164,833.56 : x
  2. Step 2: Convert to fraction form
    206,422.20/310,333.20 = 164,833.56/x
  3. Step 3: Cross multiply
    206,422.20x = 310,333.20 × 164,833.56
  4. Step 4: Simplify right side
    206,422.20x = 51,153,326,142.19
  5. Step 5: Solve for x
    x = 51,153,326,142.19/206,422.20
  6. Step 6: Final answer
    x = 247,809.23

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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.