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Finding the Fourth Proportional to 218,931.28, 328,441.40 and 69,194.96

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Solution

The fourth proportional to 218,931.28, 328,441.40 and 69,194.96 is: 103,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,931.28 : 328,441.40 = 69,194.96 : x
  2. Step 2: Convert to fraction form
    218,931.28/328,441.40 = 69,194.96/x
  3. Step 3: Cross multiply
    218,931.28x = 328,441.40 × 69,194.96
  4. Step 4: Simplify right side
    218,931.28x = 22,726,489,535.34
  5. Step 5: Solve for x
    x = 22,726,489,535.34/218,931.28
  6. Step 6: Final answer
    x = 103,806.50

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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.