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Finding the Fourth Proportional to 218,791.38, 328,872.14 and 144,389.64

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Solution

The fourth proportional to 218,791.38, 328,872.14 and 144,389.64 is: 217,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,791.38 : 328,872.14 = 144,389.64 : x
  2. Step 2: Convert to fraction form
    218,791.38/328,872.14 = 144,389.64/x
  3. Step 3: Cross multiply
    218,791.38x = 328,872.14 × 144,389.64
  4. Step 4: Simplify right side
    218,791.38x = 47,485,729,900.63
  5. Step 5: Solve for x
    x = 47,485,729,900.63/218,791.38
  6. Step 6: Final answer
    x = 217,036.57

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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.