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Finding the Fourth Proportional to 218,019.40, 326,568.30 and 194,672.20

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Solution

The fourth proportional to 218,019.40, 326,568.30 and 194,672.20 is: 291,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,019.40 : 326,568.30 = 194,672.20 : x
  2. Step 2: Convert to fraction form
    218,019.40/326,568.30 = 194,672.20/x
  3. Step 3: Cross multiply
    218,019.40x = 326,568.30 × 194,672.20
  4. Step 4: Simplify right side
    218,019.40x = 63,573,769,411.26
  5. Step 5: Solve for x
    x = 63,573,769,411.26/218,019.40
  6. Step 6: Final answer
    x = 291,596.85

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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.