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Finding the Fourth Proportional to 218,954.35, 328,403.28 and 69,209.78

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Solution

The fourth proportional to 218,954.35, 328,403.28 and 69,209.78 is: 103,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,954.35 : 328,403.28 = 69,209.78 : x
  2. Step 2: Convert to fraction form
    218,954.35/328,403.28 = 69,209.78/x
  3. Step 3: Cross multiply
    218,954.35x = 328,403.28 × 69,209.78
  4. Step 4: Simplify right side
    218,954.35x = 22,728,718,760.08
  5. Step 5: Solve for x
    x = 22,728,718,760.08/218,954.35
  6. Step 6: Final answer
    x = 103,805.74

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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.