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Finding the Fourth Proportional to 218,014.40, 327,230.40 and 112,908.80

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Solution

The fourth proportional to 218,014.40, 327,230.40 and 112,908.80 is: 169,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,014.40 : 327,230.40 = 112,908.80 : x
  2. Step 2: Convert to fraction form
    218,014.40/327,230.40 = 112,908.80/x
  3. Step 3: Cross multiply
    218,014.40x = 327,230.40 × 112,908.80
  4. Step 4: Simplify right side
    218,014.40x = 36,947,191,787.52
  5. Step 5: Solve for x
    x = 36,947,191,787.52/218,014.40
  6. Step 6: Final answer
    x = 169,471.34

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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.