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Finding the Fourth Proportional to 379,079.40, 523,119.50 and 209,309.88

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Solution

The fourth proportional to 379,079.40, 523,119.50 and 209,309.88 is: 288,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,079.40 : 523,119.50 = 209,309.88 : x
  2. Step 2: Convert to fraction form
    379,079.40/523,119.50 = 209,309.88/x
  3. Step 3: Cross multiply
    379,079.40x = 523,119.50 × 209,309.88
  4. Step 4: Simplify right side
    379,079.40x = 109,494,079,770.66
  5. Step 5: Solve for x
    x = 109,494,079,770.66/379,079.40
  6. Step 6: Final answer
    x = 288,842.07

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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.