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Finding the Fourth Proportional to 379,781.85, 524,163.40 and 218,730.14

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Solution

The fourth proportional to 379,781.85, 524,163.40 and 218,730.14 is: 301,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,781.85 : 524,163.40 = 218,730.14 : x
  2. Step 2: Convert to fraction form
    379,781.85/524,163.40 = 218,730.14/x
  3. Step 3: Cross multiply
    379,781.85x = 524,163.40 × 218,730.14
  4. Step 4: Simplify right side
    379,781.85x = 114,650,332,662.85
  5. Step 5: Solve for x
    x = 114,650,332,662.85/379,781.85
  6. Step 6: Final answer
    x = 301,884.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.