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Finding the Fourth Proportional to 328,561.39, 492,902.84 and 103,978.36

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Solution

The fourth proportional to 328,561.39, 492,902.84 and 103,978.36 is: 155,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,561.39 : 492,902.84 = 103,978.36 : x
  2. Step 2: Convert to fraction form
    328,561.39/492,902.84 = 103,978.36/x
  3. Step 3: Cross multiply
    328,561.39x = 492,902.84 × 103,978.36
  4. Step 4: Simplify right side
    328,561.39x = 51,251,228,942.54
  5. Step 5: Solve for x
    x = 51,251,228,942.54/328,561.39
  6. Step 6: Final answer
    x = 155,986.77

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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.