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Finding the Fourth Proportional to 379,178.92, 523,270.02 and 209,415.88

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Solution

The fourth proportional to 379,178.92, 523,270.02 and 209,415.88 is: 288,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,178.92 : 523,270.02 = 209,415.88 : x
  2. Step 2: Convert to fraction form
    379,178.92/523,270.02 = 209,415.88/x
  3. Step 3: Cross multiply
    379,178.92x = 523,270.02 × 209,415.88
  4. Step 4: Simplify right side
    379,178.92x = 109,581,051,715.92
  5. Step 5: Solve for x
    x = 109,581,051,715.92/379,178.92
  6. Step 6: Final answer
    x = 288,995.63

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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.