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Finding the Fourth Proportional to 206,418.20, 310,327.20 and 164,829.56

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Solution

The fourth proportional to 206,418.20, 310,327.20 and 164,829.56 is: 247,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,418.20 : 310,327.20 = 164,829.56 : x
  2. Step 2: Convert to fraction form
    206,418.20/310,327.20 = 164,829.56/x
  3. Step 3: Cross multiply
    206,418.20x = 310,327.20 × 164,829.56
  4. Step 4: Simplify right side
    206,418.20x = 51,151,095,832.03
  5. Step 5: Solve for x
    x = 51,151,095,832.03/206,418.20
  6. Step 6: Final answer
    x = 247,803.23

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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.