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Finding the Fourth Proportional to 379,494, 523,694.70 and 209,724.48

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Solution

The fourth proportional to 379,494, 523,694.70 and 209,724.48 is: 289,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,494 : 523,694.70 = 209,724.48 : x
  2. Step 2: Convert to fraction form
    379,494/523,694.70 = 209,724.48/x
  3. Step 3: Cross multiply
    379,494x = 523,694.70 × 209,724.48
  4. Step 4: Simplify right side
    379,494x = 109,831,598,636.26
  5. Step 5: Solve for x
    x = 109,831,598,636.26/379,494
  6. Step 6: Final answer
    x = 289,415.90

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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.