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Finding the Fourth Proportional to 328,980.54, 492,347.97 and 275,732.61

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Solution

The fourth proportional to 328,980.54, 492,347.97 and 275,732.61 is: 412,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,980.54 : 492,347.97 = 275,732.61 : x
  2. Step 2: Convert to fraction form
    328,980.54/492,347.97 = 275,732.61/x
  3. Step 3: Cross multiply
    328,980.54x = 492,347.97 × 275,732.61
  4. Step 4: Simplify right side
    328,980.54x = 135,756,388,950.00
  5. Step 5: Solve for x
    x = 135,756,388,950.00/328,980.54
  6. Step 6: Final answer
    x = 412,657.81

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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.