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Finding the Fourth Proportional to 379,214.43, 523,318.62 and 209,448.54

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Solution

The fourth proportional to 379,214.43, 523,318.62 and 209,448.54 is: 289,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,214.43 : 523,318.62 = 209,448.54 : x
  2. Step 2: Convert to fraction form
    379,214.43/523,318.62 = 209,448.54/x
  3. Step 3: Cross multiply
    379,214.43x = 523,318.62 × 209,448.54
  4. Step 4: Simplify right side
    379,214.43x = 109,608,320,913.82
  5. Step 5: Solve for x
    x = 109,608,320,913.82/379,214.43
  6. Step 6: Final answer
    x = 289,040.48

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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.