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Finding the Fourth Proportional to 328,097.89, 492,187.84 and 128,392.44

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Solution

The fourth proportional to 328,097.89, 492,187.84 and 128,392.44 is: 192,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,097.89 : 492,187.84 = 128,392.44 : x
  2. Step 2: Convert to fraction form
    328,097.89/492,187.84 = 128,392.44/x
  3. Step 3: Cross multiply
    328,097.89x = 492,187.84 × 128,392.44
  4. Step 4: Simplify right side
    328,097.89x = 63,193,199,040.01
  5. Step 5: Solve for x
    x = 63,193,199,040.01/328,097.89
  6. Step 6: Final answer
    x = 192,604.71

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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.