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Finding the Fourth Proportional to 379,004.43, 523,026.81 and 209,238.69

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Solution

The fourth proportional to 379,004.43, 523,026.81 and 209,238.69 is: 288,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,004.43 : 523,026.81 = 209,238.69 : x
  2. Step 2: Convert to fraction form
    379,004.43/523,026.81 = 209,238.69/x
  3. Step 3: Cross multiply
    379,004.43x = 523,026.81 × 209,238.69
  4. Step 4: Simplify right side
    379,004.43x = 109,437,444,559.28
  5. Step 5: Solve for x
    x = 109,437,444,559.28/379,004.43
  6. Step 6: Final answer
    x = 288,749.78

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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.