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Finding the Fourth Proportional to 379,617.76, 523,846.12 and 209,838.52

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Solution

The fourth proportional to 379,617.76, 523,846.12 and 209,838.52 is: 289,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,617.76 : 523,846.12 = 209,838.52 : x
  2. Step 2: Convert to fraction form
    379,617.76/523,846.12 = 209,838.52/x
  3. Step 3: Cross multiply
    379,617.76x = 523,846.12 × 209,838.52
  4. Step 4: Simplify right side
    379,617.76x = 109,923,094,528.54
  5. Step 5: Solve for x
    x = 109,923,094,528.54/379,617.76
  6. Step 6: Final answer
    x = 289,562.57

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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.