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Finding the Fourth Proportional to 218,503, 327,732.54 and 159,454

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Solution

The fourth proportional to 218,503, 327,732.54 and 159,454 is: 239,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,503 : 327,732.54 = 159,454 : x
  2. Step 2: Convert to fraction form
    218,503/327,732.54 = 159,454/x
  3. Step 3: Cross multiply
    218,503x = 327,732.54 × 159,454
  4. Step 4: Simplify right side
    218,503x = 52,258,264,433.16
  5. Step 5: Solve for x
    x = 52,258,264,433.16/218,503
  6. Step 6: Final answer
    x = 239,164.97

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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.