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Finding the Fourth Proportional to 379,251.74, 523,340.79 and 209,472.50

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Solution

The fourth proportional to 379,251.74, 523,340.79 and 209,472.50 is: 289,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,251.74 : 523,340.79 = 209,472.50 : x
  2. Step 2: Convert to fraction form
    379,251.74/523,340.79 = 209,472.50/x
  3. Step 3: Cross multiply
    379,251.74x = 523,340.79 × 209,472.50
  4. Step 4: Simplify right side
    379,251.74x = 109,625,503,633.28
  5. Step 5: Solve for x
    x = 109,625,503,633.28/379,251.74
  6. Step 6: Final answer
    x = 289,057.35

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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.