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Finding the Fourth Proportional to 328,516.56, 492,851.79 and 138,993.98

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Solution

The fourth proportional to 328,516.56, 492,851.79 and 138,993.98 is: 208,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,516.56 : 492,851.79 = 138,993.98 : x
  2. Step 2: Convert to fraction form
    328,516.56/492,851.79 = 138,993.98/x
  3. Step 3: Cross multiply
    328,516.56x = 492,851.79 × 138,993.98
  4. Step 4: Simplify right side
    328,516.56x = 68,503,429,377.97
  5. Step 5: Solve for x
    x = 68,503,429,377.97/328,516.56
  6. Step 6: Final answer
    x = 208,523.52

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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.