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Finding the Fourth Proportional to 218,908.80, 329,054.40 and 206,467.20

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Solution

The fourth proportional to 218,908.80, 329,054.40 and 206,467.20 is: 310,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,908.80 : 329,054.40 = 206,467.20 : x
  2. Step 2: Convert to fraction form
    218,908.80/329,054.40 = 206,467.20/x
  3. Step 3: Cross multiply
    218,908.80x = 329,054.40 × 206,467.20
  4. Step 4: Simplify right side
    218,908.80x = 67,938,940,615.68
  5. Step 5: Solve for x
    x = 67,938,940,615.68/218,908.80
  6. Step 6: Final answer
    x = 310,352.72

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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.