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Finding the Fourth Proportional to 218,471.40, 328,052.70 and 159,719.40

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Solution

The fourth proportional to 218,471.40, 328,052.70 and 159,719.40 is: 239,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,471.40 : 328,052.70 = 159,719.40 : x
  2. Step 2: Convert to fraction form
    218,471.40/328,052.70 = 159,719.40/x
  3. Step 3: Cross multiply
    218,471.40x = 328,052.70 × 159,719.40
  4. Step 4: Simplify right side
    218,471.40x = 52,396,380,412.38
  5. Step 5: Solve for x
    x = 52,396,380,412.38/218,471.40
  6. Step 6: Final answer
    x = 239,831.76

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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.