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Finding the Fourth Proportional to 218,133.70, 327,200.55 and 165,256.90

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Solution

The fourth proportional to 218,133.70, 327,200.55 and 165,256.90 is: 247,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,133.70 : 327,200.55 = 165,256.90 : x
  2. Step 2: Convert to fraction form
    218,133.70/327,200.55 = 165,256.90/x
  3. Step 3: Cross multiply
    218,133.70x = 327,200.55 × 165,256.90
  4. Step 4: Simplify right side
    218,133.70x = 54,072,148,571.30
  5. Step 5: Solve for x
    x = 54,072,148,571.30/218,133.70
  6. Step 6: Final answer
    x = 247,885.35

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1.5x scale

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.