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Finding the Fourth Proportional to 328,765.69, 493,428.26 and 129,225.43

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Solution

The fourth proportional to 328,765.69, 493,428.26 and 129,225.43 is: 193,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,765.69 : 493,428.26 = 129,225.43 : x
  2. Step 2: Convert to fraction form
    328,765.69/493,428.26 = 129,225.43/x
  3. Step 3: Cross multiply
    328,765.69x = 493,428.26 × 129,225.43
  4. Step 4: Simplify right side
    328,765.69x = 63,763,479,072.65
  5. Step 5: Solve for x
    x = 63,763,479,072.65/328,765.69
  6. Step 6: Final answer
    x = 193,948.09

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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.